10-3x+10-7=5x-5+2x+8

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Solution for 10-3x+10-7=5x-5+2x+8 equation:


Simplifying
10 + -3x + 10 + -7 = 5x + -5 + 2x + 8

Reorder the terms:
10 + 10 + -7 + -3x = 5x + -5 + 2x + 8

Combine like terms: 10 + 10 = 20
20 + -7 + -3x = 5x + -5 + 2x + 8

Combine like terms: 20 + -7 = 13
13 + -3x = 5x + -5 + 2x + 8

Reorder the terms:
13 + -3x = -5 + 8 + 5x + 2x

Combine like terms: -5 + 8 = 3
13 + -3x = 3 + 5x + 2x

Combine like terms: 5x + 2x = 7x
13 + -3x = 3 + 7x

Solving
13 + -3x = 3 + 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.
13 + -3x + -7x = 3 + 7x + -7x

Combine like terms: -3x + -7x = -10x
13 + -10x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -10x = 3 + 0
13 + -10x = 3

Add '-13' to each side of the equation.
13 + -13 + -10x = 3 + -13

Combine like terms: 13 + -13 = 0
0 + -10x = 3 + -13
-10x = 3 + -13

Combine like terms: 3 + -13 = -10
-10x = -10

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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