x+18+3x+12=2x+45+x+75

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Solution for x+18+3x+12=2x+45+x+75 equation:


Simplifying
x + 18 + 3x + 12 = 2x + 45 + x + 75

Reorder the terms:
18 + 12 + x + 3x = 2x + 45 + x + 75

Combine like terms: 18 + 12 = 30
30 + x + 3x = 2x + 45 + x + 75

Combine like terms: x + 3x = 4x
30 + 4x = 2x + 45 + x + 75

Reorder the terms:
30 + 4x = 45 + 75 + 2x + x

Combine like terms: 45 + 75 = 120
30 + 4x = 120 + 2x + x

Combine like terms: 2x + x = 3x
30 + 4x = 120 + 3x

Solving
30 + 4x = 120 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + 4x + -3x = 120 + 3x + -3x

Combine like terms: 4x + -3x = 1x
30 + 1x = 120 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 1x = 120 + 0
30 + 1x = 120

Add '-30' to each side of the equation.
30 + -30 + 1x = 120 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = 120 + -30
1x = 120 + -30

Combine like terms: 120 + -30 = 90
1x = 90

Divide each side by '1'.
x = 90

Simplifying
x = 90

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