-8(x-4)=-5(x-2)

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Solution for -8(x-4)=-5(x-2) equation:


Simplifying
-8(x + -4) = -5(x + -2)

Reorder the terms:
-8(-4 + x) = -5(x + -2)
(-4 * -8 + x * -8) = -5(x + -2)
(32 + -8x) = -5(x + -2)

Reorder the terms:
32 + -8x = -5(-2 + x)
32 + -8x = (-2 * -5 + x * -5)
32 + -8x = (10 + -5x)

Solving
32 + -8x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
32 + -8x + 5x = 10 + -5x + 5x

Combine like terms: -8x + 5x = -3x
32 + -3x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
32 + -3x = 10 + 0
32 + -3x = 10

Add '-32' to each side of the equation.
32 + -32 + -3x = 10 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = 10 + -32
-3x = 10 + -32

Combine like terms: 10 + -32 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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