2(x+4)-4(x-1)=30

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Solution for 2(x+4)-4(x-1)=30 equation:


Simplifying
2(x + 4) + -4(x + -1) = 30

Reorder the terms:
2(4 + x) + -4(x + -1) = 30
(4 * 2 + x * 2) + -4(x + -1) = 30
(8 + 2x) + -4(x + -1) = 30

Reorder the terms:
8 + 2x + -4(-1 + x) = 30
8 + 2x + (-1 * -4 + x * -4) = 30
8 + 2x + (4 + -4x) = 30

Reorder the terms:
8 + 4 + 2x + -4x = 30

Combine like terms: 8 + 4 = 12
12 + 2x + -4x = 30

Combine like terms: 2x + -4x = -2x
12 + -2x = 30

Solving
12 + -2x = 30

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -2x = 30 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 30 + -12
-2x = 30 + -12

Combine like terms: 30 + -12 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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