2(2x+3)-7x=18+5(x+2x)

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Solution for 2(2x+3)-7x=18+5(x+2x) equation:


Simplifying
2(2x + 3) + -7x = 18 + 5(x + 2x)

Reorder the terms:
2(3 + 2x) + -7x = 18 + 5(x + 2x)
(3 * 2 + 2x * 2) + -7x = 18 + 5(x + 2x)
(6 + 4x) + -7x = 18 + 5(x + 2x)

Combine like terms: 4x + -7x = -3x
6 + -3x = 18 + 5(x + 2x)

Combine like terms: x + 2x = 3x
6 + -3x = 18 + 5(3x)

Remove parenthesis around (3x)
6 + -3x = 18 + 5 * 3x

Multiply 5 * 3
6 + -3x = 18 + 15x

Solving
6 + -3x = 18 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + -3x + -15x = 18 + 15x + -15x

Combine like terms: -3x + -15x = -18x
6 + -18x = 18 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -18x = 18 + 0
6 + -18x = 18

Add '-6' to each side of the equation.
6 + -6 + -18x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -18x = 18 + -6
-18x = 18 + -6

Combine like terms: 18 + -6 = 12
-18x = 12

Divide each side by '-18'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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