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

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


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

Reorder the terms:
7(3 + x) + -4x = 5(x + -3) + 18
(3 * 7 + x * 7) + -4x = 5(x + -3) + 18
(21 + 7x) + -4x = 5(x + -3) + 18

Combine like terms: 7x + -4x = 3x
21 + 3x = 5(x + -3) + 18

Reorder the terms:
21 + 3x = 5(-3 + x) + 18
21 + 3x = (-3 * 5 + x * 5) + 18
21 + 3x = (-15 + 5x) + 18

Reorder the terms:
21 + 3x = -15 + 18 + 5x

Combine like terms: -15 + 18 = 3
21 + 3x = 3 + 5x

Solving
21 + 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.
21 + 3x + -5x = 3 + 5x + -5x

Combine like terms: 3x + -5x = -2x
21 + -2x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -2x = 3 + 0
21 + -2x = 3

Add '-21' to each side of the equation.
21 + -21 + -2x = 3 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 3 + -21
-2x = 3 + -21

Combine like terms: 3 + -21 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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