6(x-4)=-5(2x+2)

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Solution for 6(x-4)=-5(2x+2) equation:


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

Reorder the terms:
6(-4 + x) = -5(2x + 2)
(-4 * 6 + x * 6) = -5(2x + 2)
(-24 + 6x) = -5(2x + 2)

Reorder the terms:
-24 + 6x = -5(2 + 2x)
-24 + 6x = (2 * -5 + 2x * -5)
-24 + 6x = (-10 + -10x)

Solving
-24 + 6x = -10 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-24 + 6x + 10x = -10 + -10x + 10x

Combine like terms: 6x + 10x = 16x
-24 + 16x = -10 + -10x + 10x

Combine like terms: -10x + 10x = 0
-24 + 16x = -10 + 0
-24 + 16x = -10

Add '24' to each side of the equation.
-24 + 24 + 16x = -10 + 24

Combine like terms: -24 + 24 = 0
0 + 16x = -10 + 24
16x = -10 + 24

Combine like terms: -10 + 24 = 14
16x = 14

Divide each side by '16'.
x = 0.875

Simplifying
x = 0.875

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