4(x+5)=8+6(2x-2)

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Solution for 4(x+5)=8+6(2x-2) equation:


Simplifying
4(x + 5) = 8 + 6(2x + -2)

Reorder the terms:
4(5 + x) = 8 + 6(2x + -2)
(5 * 4 + x * 4) = 8 + 6(2x + -2)
(20 + 4x) = 8 + 6(2x + -2)

Reorder the terms:
20 + 4x = 8 + 6(-2 + 2x)
20 + 4x = 8 + (-2 * 6 + 2x * 6)
20 + 4x = 8 + (-12 + 12x)

Combine like terms: 8 + -12 = -4
20 + 4x = -4 + 12x

Solving
20 + 4x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
20 + 4x + -12x = -4 + 12x + -12x

Combine like terms: 4x + -12x = -8x
20 + -8x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -8x = -4 + 0
20 + -8x = -4

Add '-20' to each side of the equation.
20 + -20 + -8x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -4 + -20
-8x = -4 + -20

Combine like terms: -4 + -20 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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