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

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


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

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

Reorder the terms:
-12 + 8x = 2(-8 + 3x)
-12 + 8x = (-8 * 2 + 3x * 2)
-12 + 8x = (-16 + 6x)

Solving
-12 + 8x = -16 + 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.
-12 + 8x + -6x = -16 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-12 + 2x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 2x = -16 + 0
-12 + 2x = -16

Add '12' to each side of the equation.
-12 + 12 + 2x = -16 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -16 + 12
2x = -16 + 12

Combine like terms: -16 + 12 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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