8(x-5)=-2(x-1)-2

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Solution for 8(x-5)=-2(x-1)-2 equation:


Simplifying
8(x + -5) = -2(x + -1) + -2

Reorder the terms:
8(-5 + x) = -2(x + -1) + -2
(-5 * 8 + x * 8) = -2(x + -1) + -2
(-40 + 8x) = -2(x + -1) + -2

Reorder the terms:
-40 + 8x = -2(-1 + x) + -2
-40 + 8x = (-1 * -2 + x * -2) + -2
-40 + 8x = (2 + -2x) + -2

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

Combine like terms: 2 + -2 = 0
-40 + 8x = 0 + -2x
-40 + 8x = -2x

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

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

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

Add '40' to each side of the equation.
-40 + 40 + 10x = 0 + 40

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

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

Divide each side by '10'.
x = 4

Simplifying
x = 4

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