4(2x-3)=2(x-9)

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Solution for 4(2x-3)=2(x-9) equation:


Simplifying
4(2x + -3) = 2(x + -9)

Reorder the terms:
4(-3 + 2x) = 2(x + -9)
(-3 * 4 + 2x * 4) = 2(x + -9)
(-12 + 8x) = 2(x + -9)

Reorder the terms:
-12 + 8x = 2(-9 + x)
-12 + 8x = (-9 * 2 + x * 2)
-12 + 8x = (-18 + 2x)

Solving
-12 + 8x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 8x + -2x = -18 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-12 + 6x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 6x = -18 + 0
-12 + 6x = -18

Add '12' to each side of the equation.
-12 + 12 + 6x = -18 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = -18 + 12
6x = -18 + 12

Combine like terms: -18 + 12 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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