0.5(4x-6)=3(x-4)

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Solution for 0.5(4x-6)=3(x-4) equation:


Simplifying
0.5(4x + -6) = 3(x + -4)

Reorder the terms:
0.5(-6 + 4x) = 3(x + -4)
(-6 * 0.5 + 4x * 0.5) = 3(x + -4)
(-3 + 2x) = 3(x + -4)

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

Solving
-3 + 2x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-3 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -1x = -12 + 0
-3 + -1x = -12

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

Combine like terms: -3 + 3 = 0
0 + -1x = -12 + 3
-1x = -12 + 3

Combine like terms: -12 + 3 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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