3(x+18)=2(x+4)+2(x+1)

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Solution for 3(x+18)=2(x+4)+2(x+1) equation:


Simplifying
3(x + 18) = 2(x + 4) + 2(x + 1)

Reorder the terms:
3(18 + x) = 2(x + 4) + 2(x + 1)
(18 * 3 + x * 3) = 2(x + 4) + 2(x + 1)
(54 + 3x) = 2(x + 4) + 2(x + 1)

Reorder the terms:
54 + 3x = 2(4 + x) + 2(x + 1)
54 + 3x = (4 * 2 + x * 2) + 2(x + 1)
54 + 3x = (8 + 2x) + 2(x + 1)

Reorder the terms:
54 + 3x = 8 + 2x + 2(1 + x)
54 + 3x = 8 + 2x + (1 * 2 + x * 2)
54 + 3x = 8 + 2x + (2 + 2x)

Reorder the terms:
54 + 3x = 8 + 2 + 2x + 2x

Combine like terms: 8 + 2 = 10
54 + 3x = 10 + 2x + 2x

Combine like terms: 2x + 2x = 4x
54 + 3x = 10 + 4x

Solving
54 + 3x = 10 + 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.
54 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
54 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
54 + -1x = 10 + 0
54 + -1x = 10

Add '-54' to each side of the equation.
54 + -54 + -1x = 10 + -54

Combine like terms: 54 + -54 = 0
0 + -1x = 10 + -54
-1x = 10 + -54

Combine like terms: 10 + -54 = -44
-1x = -44

Divide each side by '-1'.
x = 44

Simplifying
x = 44

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