(3x+18)-7=(5x+1)-4

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Solution for (3x+18)-7=(5x+1)-4 equation:


Simplifying
(3x + 18) + -7 = (5x + 1) + -4

Reorder the terms:
(18 + 3x) + -7 = (5x + 1) + -4

Remove parenthesis around (18 + 3x)
18 + 3x + -7 = (5x + 1) + -4

Reorder the terms:
18 + -7 + 3x = (5x + 1) + -4

Combine like terms: 18 + -7 = 11
11 + 3x = (5x + 1) + -4

Reorder the terms:
11 + 3x = (1 + 5x) + -4

Remove parenthesis around (1 + 5x)
11 + 3x = 1 + 5x + -4

Reorder the terms:
11 + 3x = 1 + -4 + 5x

Combine like terms: 1 + -4 = -3
11 + 3x = -3 + 5x

Solving
11 + 3x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + 3x + -5x = -3 + 5x + -5x

Combine like terms: 3x + -5x = -2x
11 + -2x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -2x = -3 + 0
11 + -2x = -3

Add '-11' to each side of the equation.
11 + -11 + -2x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -3 + -11
-2x = -3 + -11

Combine like terms: -3 + -11 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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