(5x+2-3x+3)=(8x+1-x+7)

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Solution for (5x+2-3x+3)=(8x+1-x+7) equation:


Simplifying
(5x + 2 + -3x + 3) = (8x + 1 + -1x + 7)

Reorder the terms:
(2 + 3 + 5x + -3x) = (8x + 1 + -1x + 7)

Combine like terms: 2 + 3 = 5
(5 + 5x + -3x) = (8x + 1 + -1x + 7)

Combine like terms: 5x + -3x = 2x
(5 + 2x) = (8x + 1 + -1x + 7)

Remove parenthesis around (5 + 2x)
5 + 2x = (8x + 1 + -1x + 7)

Reorder the terms:
5 + 2x = (1 + 7 + 8x + -1x)

Combine like terms: 1 + 7 = 8
5 + 2x = (8 + 8x + -1x)

Combine like terms: 8x + -1x = 7x
5 + 2x = (8 + 7x)

Remove parenthesis around (8 + 7x)
5 + 2x = 8 + 7x

Solving
5 + 2x = 8 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
5 + 2x + -7x = 8 + 7x + -7x

Combine like terms: 2x + -7x = -5x
5 + -5x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -5x = 8 + 0
5 + -5x = 8

Add '-5' to each side of the equation.
5 + -5 + -5x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = 8 + -5
-5x = 8 + -5

Combine like terms: 8 + -5 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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