3(4-2x)-7(1-2x)=13

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Solution for 3(4-2x)-7(1-2x)=13 equation:


Simplifying
3(4 + -2x) + -7(1 + -2x) = 13
(4 * 3 + -2x * 3) + -7(1 + -2x) = 13
(12 + -6x) + -7(1 + -2x) = 13
12 + -6x + (1 * -7 + -2x * -7) = 13
12 + -6x + (-7 + 14x) = 13

Reorder the terms:
12 + -7 + -6x + 14x = 13

Combine like terms: 12 + -7 = 5
5 + -6x + 14x = 13

Combine like terms: -6x + 14x = 8x
5 + 8x = 13

Solving
5 + 8x = 13

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 8x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 13 + -5
8x = 13 + -5

Combine like terms: 13 + -5 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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