-7(-6+3x)-2(x-5)=10x-7x

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Solution for -7(-6+3x)-2(x-5)=10x-7x equation:


Simplifying
-7(-6 + 3x) + -2(x + -5) = 10x + -7x
(-6 * -7 + 3x * -7) + -2(x + -5) = 10x + -7x
(42 + -21x) + -2(x + -5) = 10x + -7x

Reorder the terms:
42 + -21x + -2(-5 + x) = 10x + -7x
42 + -21x + (-5 * -2 + x * -2) = 10x + -7x
42 + -21x + (10 + -2x) = 10x + -7x

Reorder the terms:
42 + 10 + -21x + -2x = 10x + -7x

Combine like terms: 42 + 10 = 52
52 + -21x + -2x = 10x + -7x

Combine like terms: -21x + -2x = -23x
52 + -23x = 10x + -7x

Combine like terms: 10x + -7x = 3x
52 + -23x = 3x

Solving
52 + -23x = 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.
52 + -23x + -3x = 3x + -3x

Combine like terms: -23x + -3x = -26x
52 + -26x = 3x + -3x

Combine like terms: 3x + -3x = 0
52 + -26x = 0

Add '-52' to each side of the equation.
52 + -52 + -26x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -26x = 0 + -52
-26x = 0 + -52

Combine like terms: 0 + -52 = -52
-26x = -52

Divide each side by '-26'.
x = 2

Simplifying
x = 2

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