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

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


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

Reorder the terms:
4(-4 + 3x) = 3(x + -4) + 8
(-4 * 4 + 3x * 4) = 3(x + -4) + 8
(-16 + 12x) = 3(x + -4) + 8

Reorder the terms:
-16 + 12x = 3(-4 + x) + 8
-16 + 12x = (-4 * 3 + x * 3) + 8
-16 + 12x = (-12 + 3x) + 8

Reorder the terms:
-16 + 12x = -12 + 8 + 3x

Combine like terms: -12 + 8 = -4
-16 + 12x = -4 + 3x

Solving
-16 + 12x = -4 + 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.
-16 + 12x + -3x = -4 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-16 + 9x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 9x = -4 + 0
-16 + 9x = -4

Add '16' to each side of the equation.
-16 + 16 + 9x = -4 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = -4 + 16
9x = -4 + 16

Combine like terms: -4 + 16 = 12
9x = 12

Divide each side by '9'.
x = 1.333333333

Simplifying
x = 1.333333333

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