10x-(3x-7)=5x+8

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


Simplifying
10x + -1(3x + -7) = 5x + 8

Reorder the terms:
10x + -1(-7 + 3x) = 5x + 8
10x + (-7 * -1 + 3x * -1) = 5x + 8
10x + (7 + -3x) = 5x + 8

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

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

Reorder the terms:
7 + 7x = 8 + 5x

Solving
7 + 7x = 8 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
7 + 2x = 8 + 0
7 + 2x = 8

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

Combine like terms: 7 + -7 = 0
0 + 2x = 8 + -7
2x = 8 + -7

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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