3(2x+4)-4(x-7)=56

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Solution for 3(2x+4)-4(x-7)=56 equation:


Simplifying
3(2x + 4) + -4(x + -7) = 56

Reorder the terms:
3(4 + 2x) + -4(x + -7) = 56
(4 * 3 + 2x * 3) + -4(x + -7) = 56
(12 + 6x) + -4(x + -7) = 56

Reorder the terms:
12 + 6x + -4(-7 + x) = 56
12 + 6x + (-7 * -4 + x * -4) = 56
12 + 6x + (28 + -4x) = 56

Reorder the terms:
12 + 28 + 6x + -4x = 56

Combine like terms: 12 + 28 = 40
40 + 6x + -4x = 56

Combine like terms: 6x + -4x = 2x
40 + 2x = 56

Solving
40 + 2x = 56

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 2x = 56 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 56 + -40
2x = 56 + -40

Combine like terms: 56 + -40 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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