12(3x-4)=44-2(x+1)

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Solution for 12(3x-4)=44-2(x+1) equation:


Simplifying
12(3x + -4) = 44 + -2(x + 1)

Reorder the terms:
12(-4 + 3x) = 44 + -2(x + 1)
(-4 * 12 + 3x * 12) = 44 + -2(x + 1)
(-48 + 36x) = 44 + -2(x + 1)

Reorder the terms:
-48 + 36x = 44 + -2(1 + x)
-48 + 36x = 44 + (1 * -2 + x * -2)
-48 + 36x = 44 + (-2 + -2x)

Combine like terms: 44 + -2 = 42
-48 + 36x = 42 + -2x

Solving
-48 + 36x = 42 + -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.
-48 + 36x + 2x = 42 + -2x + 2x

Combine like terms: 36x + 2x = 38x
-48 + 38x = 42 + -2x + 2x

Combine like terms: -2x + 2x = 0
-48 + 38x = 42 + 0
-48 + 38x = 42

Add '48' to each side of the equation.
-48 + 48 + 38x = 42 + 48

Combine like terms: -48 + 48 = 0
0 + 38x = 42 + 48
38x = 42 + 48

Combine like terms: 42 + 48 = 90
38x = 90

Divide each side by '38'.
x = 2.368421053

Simplifying
x = 2.368421053

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