5(4x-7)-(3x-1)2=-5

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Solution for 5(4x-7)-(3x-1)2=-5 equation:


Simplifying
5(4x + -7) + -1(3x + -1) * 2 = -5

Reorder the terms:
5(-7 + 4x) + -1(3x + -1) * 2 = -5
(-7 * 5 + 4x * 5) + -1(3x + -1) * 2 = -5
(-35 + 20x) + -1(3x + -1) * 2 = -5

Reorder the terms:
-35 + 20x + -1(-1 + 3x) * 2 = -5

Reorder the terms for easier multiplication:
-35 + 20x + -1 * 2(-1 + 3x) = -5

Multiply -1 * 2
-35 + 20x + -2(-1 + 3x) = -5
-35 + 20x + (-1 * -2 + 3x * -2) = -5
-35 + 20x + (2 + -6x) = -5

Reorder the terms:
-35 + 2 + 20x + -6x = -5

Combine like terms: -35 + 2 = -33
-33 + 20x + -6x = -5

Combine like terms: 20x + -6x = 14x
-33 + 14x = -5

Solving
-33 + 14x = -5

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + 14x = -5 + 33

Combine like terms: -33 + 33 = 0
0 + 14x = -5 + 33
14x = -5 + 33

Combine like terms: -5 + 33 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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