7x-8=10x-7x+8

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Solution for 7x-8=10x-7x+8 equation:


Simplifying
7x + -8 = 10x + -7x + 8

Reorder the terms:
-8 + 7x = 10x + -7x + 8

Reorder the terms:
-8 + 7x = 8 + 10x + -7x

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

Solving
-8 + 7x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 7x + -3x = 8 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-8 + 4x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 4x = 8 + 0
-8 + 4x = 8

Add '8' to each side of the equation.
-8 + 8 + 4x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 8 + 8
4x = 8 + 8

Combine like terms: 8 + 8 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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