8-(2x-7)=10+x

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Solution for 8-(2x-7)=10+x equation:


Simplifying
8 + -1(2x + -7) = 10 + x

Reorder the terms:
8 + -1(-7 + 2x) = 10 + x
8 + (-7 * -1 + 2x * -1) = 10 + x
8 + (7 + -2x) = 10 + x

Combine like terms: 8 + 7 = 15
15 + -2x = 10 + x

Solving
15 + -2x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
15 + -2x + -1x = 10 + x + -1x

Combine like terms: -2x + -1x = -3x
15 + -3x = 10 + x + -1x

Combine like terms: x + -1x = 0
15 + -3x = 10 + 0
15 + -3x = 10

Add '-15' to each side of the equation.
15 + -15 + -3x = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = 10 + -15
-3x = 10 + -15

Combine like terms: 10 + -15 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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