4(x-1)+20=-6(x-1)-8

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Solution for 4(x-1)+20=-6(x-1)-8 equation:


Simplifying
4(x + -1) + 20 = -6(x + -1) + -8

Reorder the terms:
4(-1 + x) + 20 = -6(x + -1) + -8
(-1 * 4 + x * 4) + 20 = -6(x + -1) + -8
(-4 + 4x) + 20 = -6(x + -1) + -8

Reorder the terms:
-4 + 20 + 4x = -6(x + -1) + -8

Combine like terms: -4 + 20 = 16
16 + 4x = -6(x + -1) + -8

Reorder the terms:
16 + 4x = -6(-1 + x) + -8
16 + 4x = (-1 * -6 + x * -6) + -8
16 + 4x = (6 + -6x) + -8

Reorder the terms:
16 + 4x = 6 + -8 + -6x

Combine like terms: 6 + -8 = -2
16 + 4x = -2 + -6x

Solving
16 + 4x = -2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
16 + 4x + 6x = -2 + -6x + 6x

Combine like terms: 4x + 6x = 10x
16 + 10x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
16 + 10x = -2 + 0
16 + 10x = -2

Add '-16' to each side of the equation.
16 + -16 + 10x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 10x = -2 + -16
10x = -2 + -16

Combine like terms: -2 + -16 = -18
10x = -18

Divide each side by '10'.
x = -1.8

Simplifying
x = -1.8

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