2(x-3)+2=4(x+6)-30

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Solution for 2(x-3)+2=4(x+6)-30 equation:


Simplifying
2(x + -3) + 2 = 4(x + 6) + -30

Reorder the terms:
2(-3 + x) + 2 = 4(x + 6) + -30
(-3 * 2 + x * 2) + 2 = 4(x + 6) + -30
(-6 + 2x) + 2 = 4(x + 6) + -30

Reorder the terms:
-6 + 2 + 2x = 4(x + 6) + -30

Combine like terms: -6 + 2 = -4
-4 + 2x = 4(x + 6) + -30

Reorder the terms:
-4 + 2x = 4(6 + x) + -30
-4 + 2x = (6 * 4 + x * 4) + -30
-4 + 2x = (24 + 4x) + -30

Reorder the terms:
-4 + 2x = 24 + -30 + 4x

Combine like terms: 24 + -30 = -6
-4 + 2x = -6 + 4x

Solving
-4 + 2x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4 + 2x + -4x = -6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-4 + -2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + -2x = -6 + 0
-4 + -2x = -6

Add '4' to each side of the equation.
-4 + 4 + -2x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -6 + 4
-2x = -6 + 4

Combine like terms: -6 + 4 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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