10-6x=-8(-5x-7)

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Solution for 10-6x=-8(-5x-7) equation:


Simplifying
10 + -6x = -8(-5x + -7)

Reorder the terms:
10 + -6x = -8(-7 + -5x)
10 + -6x = (-7 * -8 + -5x * -8)
10 + -6x = (56 + 40x)

Solving
10 + -6x = 56 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
10 + -6x + -40x = 56 + 40x + -40x

Combine like terms: -6x + -40x = -46x
10 + -46x = 56 + 40x + -40x

Combine like terms: 40x + -40x = 0
10 + -46x = 56 + 0
10 + -46x = 56

Add '-10' to each side of the equation.
10 + -10 + -46x = 56 + -10

Combine like terms: 10 + -10 = 0
0 + -46x = 56 + -10
-46x = 56 + -10

Combine like terms: 56 + -10 = 46
-46x = 46

Divide each side by '-46'.
x = -1

Simplifying
x = -1

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