2(1.5x-2)=4-(x-8)

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Solution for 2(1.5x-2)=4-(x-8) equation:


Simplifying
2(1.5x + -2) = 4 + -1(x + -8)

Reorder the terms:
2(-2 + 1.5x) = 4 + -1(x + -8)
(-2 * 2 + 1.5x * 2) = 4 + -1(x + -8)
(-4 + 3x) = 4 + -1(x + -8)

Reorder the terms:
-4 + 3x = 4 + -1(-8 + x)
-4 + 3x = 4 + (-8 * -1 + x * -1)
-4 + 3x = 4 + (8 + -1x)

Combine like terms: 4 + 8 = 12
-4 + 3x = 12 + -1x

Solving
-4 + 3x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 3x + x = 12 + -1x + x

Combine like terms: 3x + x = 4x
-4 + 4x = 12 + -1x + x

Combine like terms: -1x + x = 0
-4 + 4x = 12 + 0
-4 + 4x = 12

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

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

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

Divide each side by '4'.
x = 4

Simplifying
x = 4

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