7x-4(12-6x)=22-3(4x+12)

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Solution for 7x-4(12-6x)=22-3(4x+12) equation:


Simplifying
7x + -4(12 + -6x) = 22 + -3(4x + 12)
7x + (12 * -4 + -6x * -4) = 22 + -3(4x + 12)
7x + (-48 + 24x) = 22 + -3(4x + 12)

Reorder the terms:
-48 + 7x + 24x = 22 + -3(4x + 12)

Combine like terms: 7x + 24x = 31x
-48 + 31x = 22 + -3(4x + 12)

Reorder the terms:
-48 + 31x = 22 + -3(12 + 4x)
-48 + 31x = 22 + (12 * -3 + 4x * -3)
-48 + 31x = 22 + (-36 + -12x)

Combine like terms: 22 + -36 = -14
-48 + 31x = -14 + -12x

Solving
-48 + 31x = -14 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-48 + 31x + 12x = -14 + -12x + 12x

Combine like terms: 31x + 12x = 43x
-48 + 43x = -14 + -12x + 12x

Combine like terms: -12x + 12x = 0
-48 + 43x = -14 + 0
-48 + 43x = -14

Add '48' to each side of the equation.
-48 + 48 + 43x = -14 + 48

Combine like terms: -48 + 48 = 0
0 + 43x = -14 + 48
43x = -14 + 48

Combine like terms: -14 + 48 = 34
43x = 34

Divide each side by '43'.
x = 0.7906976744

Simplifying
x = 0.7906976744

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