3(2x+1)-4x+7(2x-1)=12

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Solution for 3(2x+1)-4x+7(2x-1)=12 equation:


Simplifying
3(2x + 1) + -4x + 7(2x + -1) = 12

Reorder the terms:
3(1 + 2x) + -4x + 7(2x + -1) = 12
(1 * 3 + 2x * 3) + -4x + 7(2x + -1) = 12
(3 + 6x) + -4x + 7(2x + -1) = 12

Reorder the terms:
3 + 6x + -4x + 7(-1 + 2x) = 12
3 + 6x + -4x + (-1 * 7 + 2x * 7) = 12
3 + 6x + -4x + (-7 + 14x) = 12

Reorder the terms:
3 + -7 + 6x + -4x + 14x = 12

Combine like terms: 3 + -7 = -4
-4 + 6x + -4x + 14x = 12

Combine like terms: 6x + -4x = 2x
-4 + 2x + 14x = 12

Combine like terms: 2x + 14x = 16x
-4 + 16x = 12

Solving
-4 + 16x = 12

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 16x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 16x = 12 + 4
16x = 12 + 4

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

Divide each side by '16'.
x = 1

Simplifying
x = 1

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