2x+30=2(2x+31)-5

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Solution for 2x+30=2(2x+31)-5 equation:


Simplifying
2x + 30 = 2(2x + 31) + -5

Reorder the terms:
30 + 2x = 2(2x + 31) + -5

Reorder the terms:
30 + 2x = 2(31 + 2x) + -5
30 + 2x = (31 * 2 + 2x * 2) + -5
30 + 2x = (62 + 4x) + -5

Reorder the terms:
30 + 2x = 62 + -5 + 4x

Combine like terms: 62 + -5 = 57
30 + 2x = 57 + 4x

Solving
30 + 2x = 57 + 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.
30 + 2x + -4x = 57 + 4x + -4x

Combine like terms: 2x + -4x = -2x
30 + -2x = 57 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + -2x = 57 + 0
30 + -2x = 57

Add '-30' to each side of the equation.
30 + -30 + -2x = 57 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = 57 + -30
-2x = 57 + -30

Combine like terms: 57 + -30 = 27
-2x = 27

Divide each side by '-2'.
x = -13.5

Simplifying
x = -13.5

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