Simplify X+3/5=7/5*(X+1)

* Solutions: X=-2.

* Graphical form: X+3/5=7/5*(X+1) simplifies to 0=0

* Text form: X+3/5=7/5*(X+1) simplifies to 0=0

* Cartoon (animation) form: simplify_cartoon( X+3/5=7/5*(X+1) )

simplify_cartoon( X+3/5=7/5*(X+1) )

Detailed explanation:

Look at X+3/5=highlight_red( 7/5*(X+1) ).

Moved these terms to the left highlight_green( -7/5*(X+1) )

It becomes X+3/5-highlight_green( 7/5*(X+1) )=0.

Look at X+highlight_red( 3/5 )-7/5*(X+1)=0.

Moved 3/5 to the right of expression

It becomes X-7/5*(X+1)+highlight_green( 3/5 )=0.

Look at X-highlight_red( 7/5*(X+1) )+3/5=0.

Expanded term -7/5 by using associative property on (X+1)

It becomes X-highlight_green( 7/5*X )-highlight_green( 7/5*1 )+3/5=0.

Look at X-7/5*X-highlight_red( 7 )/5*highlight_red( 1 )+3/5=0.

Multiplied numerator integers

It becomes X-7/5*X-highlight_green( 7 )/5+3/5=0.

Look at X-7/5*X-highlight_red( 7/5 )+highlight_red( 3/5 )=0.

Added fractions or integers together

It becomes X-7/5*X-highlight_green( 4/5 )=0.

Look at highlight_red( X )-highlight_red( 7/5*X )-4/5=0.

Eliminated similar terms highlight_red( X ),highlight_red( -7/5*X ) replacing them with highlight_green( (1-7*1/5)*X )

It becomes highlight_green( (1-7*1/5)*X )-4/5=0.

Look at (1-highlight_red( 7 )*highlight_red( 1 )/5)*X-4/5=0.

Multiplied numerator integers

It becomes (1-highlight_green( 7 )/5)*X-4/5=0.

Look at (highlight_red( 1 )-highlight_red( 7/5 ))*X-4/5=0.

Added fractions or integers together

It becomes (-highlight_green( 2/5 ))*X-4/5=0.

Look at highlight_red( (-highlight_red( 2/5 ))*X )-4/5=0.

Remove unneeded parentheses around factor highlight_red( 2 ),highlight_red( 1/5 )

It becomes -highlight_green( 2 )/highlight_green( 5 )*X-4/5=0.

Look at highlight_red( -2/5*X-4/5 )=0.

Solved linear equation highlight_red( -2/5*X-4/5=0 ) equivalent to -0.4*X-0.8 =0

It becomes highlight_green( 0 )=0.

Result: 0=0

Solutions: X=-2.

multiply everything by 5

5x +3 = 7(x+1)

distribute 7 and solve for x

1/2(14x+2)=3(2-3x)

distribute the 1/2 into the (14x+2) and distribute the 3 into (2-3x), solve for x

5x+4/5(5x-2)

there is no = sign, but multiply everything by 5, to get rid of the denominator, and then solve for x

5/4(4x+2)=3

multiply both sides by 4, and distribute the 5 to (4x+2) and solve for x

x+4=2x-8(1/4x-1/4)

distribute the negative 8, and solve for x