4(x-4)=2x-30

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Solution for 4(x-4)=2x-30 equation:


Simplifying
4(x + -4) = 2x + -30

Reorder the terms:
4(-4 + x) = 2x + -30
(-4 * 4 + x * 4) = 2x + -30
(-16 + 4x) = 2x + -30

Reorder the terms:
-16 + 4x = -30 + 2x

Solving
-16 + 4x = -30 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-16 + 4x + -2x = -30 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-16 + 2x = -30 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 2x = -30 + 0
-16 + 2x = -30

Add '16' to each side of the equation.
-16 + 16 + 2x = -30 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -30 + 16
2x = -30 + 16

Combine like terms: -30 + 16 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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