-8(x-5)=2x-10

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Solution for -8(x-5)=2x-10 equation:


Simplifying
-8(x + -5) = 2x + -10

Reorder the terms:
-8(-5 + x) = 2x + -10
(-5 * -8 + x * -8) = 2x + -10
(40 + -8x) = 2x + -10

Reorder the terms:
40 + -8x = -10 + 2x

Solving
40 + -8x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
40 + -8x + -2x = -10 + 2x + -2x

Combine like terms: -8x + -2x = -10x
40 + -10x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
40 + -10x = -10 + 0
40 + -10x = -10

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

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

Combine like terms: -10 + -40 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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