-71=5x-3(4x-2)

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Solution for -71=5x-3(4x-2) equation:


Simplifying
-71 = 5x + -3(4x + -2)

Reorder the terms:
-71 = 5x + -3(-2 + 4x)
-71 = 5x + (-2 * -3 + 4x * -3)
-71 = 5x + (6 + -12x)

Reorder the terms:
-71 = 6 + 5x + -12x

Combine like terms: 5x + -12x = -7x
-71 = 6 + -7x

Solving
-71 = 6 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-71 + 7x = 6 + -7x + 7x

Combine like terms: -7x + 7x = 0
-71 + 7x = 6 + 0
-71 + 7x = 6

Add '71' to each side of the equation.
-71 + 71 + 7x = 6 + 71

Combine like terms: -71 + 71 = 0
0 + 7x = 6 + 71
7x = 6 + 71

Combine like terms: 6 + 71 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11

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