x+2=5(2x-6)

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Solution for x+2=5(2x-6) equation:


Simplifying
x + 2 = 5(2x + -6)

Reorder the terms:
2 + x = 5(2x + -6)

Reorder the terms:
2 + x = 5(-6 + 2x)
2 + x = (-6 * 5 + 2x * 5)
2 + x = (-30 + 10x)

Solving
2 + x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2 + x + -10x = -30 + 10x + -10x

Combine like terms: x + -10x = -9x
2 + -9x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -9x = -30 + 0
2 + -9x = -30

Add '-2' to each side of the equation.
2 + -2 + -9x = -30 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = -30 + -2
-9x = -30 + -2

Combine like terms: -30 + -2 = -32
-9x = -32

Divide each side by '-9'.
x = 3.555555556

Simplifying
x = 3.555555556

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