4(x-3)=-8(x+2)+20

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Solution for 4(x-3)=-8(x+2)+20 equation:


Simplifying
4(x + -3) = -8(x + 2) + 20

Reorder the terms:
4(-3 + x) = -8(x + 2) + 20
(-3 * 4 + x * 4) = -8(x + 2) + 20
(-12 + 4x) = -8(x + 2) + 20

Reorder the terms:
-12 + 4x = -8(2 + x) + 20
-12 + 4x = (2 * -8 + x * -8) + 20
-12 + 4x = (-16 + -8x) + 20

Reorder the terms:
-12 + 4x = -16 + 20 + -8x

Combine like terms: -16 + 20 = 4
-12 + 4x = 4 + -8x

Solving
-12 + 4x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-12 + 4x + 8x = 4 + -8x + 8x

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

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

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

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

Combine like terms: 4 + 12 = 16
12x = 16

Divide each side by '12'.
x = 1.333333333

Simplifying
x = 1.333333333

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