2[3+2(5+x)]=2(x-2)+12

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Solution for 2[3+2(5+x)]=2(x-2)+12 equation:


Simplifying
2[3 + 2(5 + x)] = 2(x + -2) + 12
2[3 + (5 * 2 + x * 2)] = 2(x + -2) + 12
2[3 + (10 + 2x)] = 2(x + -2) + 12

Combine like terms: 3 + 10 = 13
2[13 + 2x] = 2(x + -2) + 12
[13 * 2 + 2x * 2] = 2(x + -2) + 12
[26 + 4x] = 2(x + -2) + 12

Reorder the terms:
26 + 4x = 2(-2 + x) + 12
26 + 4x = (-2 * 2 + x * 2) + 12
26 + 4x = (-4 + 2x) + 12

Reorder the terms:
26 + 4x = -4 + 12 + 2x

Combine like terms: -4 + 12 = 8
26 + 4x = 8 + 2x

Solving
26 + 4x = 8 + 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.
26 + 4x + -2x = 8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
26 + 2x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
26 + 2x = 8 + 0
26 + 2x = 8

Add '-26' to each side of the equation.
26 + -26 + 2x = 8 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = 8 + -26
2x = 8 + -26

Combine like terms: 8 + -26 = -18
2x = -18

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

Simplifying
x = -9

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