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

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


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

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

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

Reorder the terms:
6 + -3x = 18 + 5(2 + x)
6 + -3x = 18 + (2 * 5 + x * 5)
6 + -3x = 18 + (10 + 5x)

Combine like terms: 18 + 10 = 28
6 + -3x = 28 + 5x

Solving
6 + -3x = 28 + 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.
6 + -3x + -5x = 28 + 5x + -5x

Combine like terms: -3x + -5x = -8x
6 + -8x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -8x = 28 + 0
6 + -8x = 28

Add '-6' to each side of the equation.
6 + -6 + -8x = 28 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 28 + -6
-8x = 28 + -6

Combine like terms: 28 + -6 = 22
-8x = 22

Divide each side by '-8'.
x = -2.75

Simplifying
x = -2.75

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