4(5x-7)-3(2x-4)=12

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Solution for 4(5x-7)-3(2x-4)=12 equation:


Simplifying
4(5x + -7) + -3(2x + -4) = 12

Reorder the terms:
4(-7 + 5x) + -3(2x + -4) = 12
(-7 * 4 + 5x * 4) + -3(2x + -4) = 12
(-28 + 20x) + -3(2x + -4) = 12

Reorder the terms:
-28 + 20x + -3(-4 + 2x) = 12
-28 + 20x + (-4 * -3 + 2x * -3) = 12
-28 + 20x + (12 + -6x) = 12

Reorder the terms:
-28 + 12 + 20x + -6x = 12

Combine like terms: -28 + 12 = -16
-16 + 20x + -6x = 12

Combine like terms: 20x + -6x = 14x
-16 + 14x = 12

Solving
-16 + 14x = 12

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 14x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 14x = 12 + 16
14x = 12 + 16

Combine like terms: 12 + 16 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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