2(2x+3)-7x=18-5(x+4)

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Solution for 2(2x+3)-7x=18-5(x+4) equation:


Simplifying
2(2x + 3) + -7x = 18 + -5(x + 4)

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

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

Reorder the terms:
6 + -3x = 18 + -5(4 + x)
6 + -3x = 18 + (4 * -5 + x * -5)
6 + -3x = 18 + (-20 + -5x)

Combine like terms: 18 + -20 = -2
6 + -3x = -2 + -5x

Solving
6 + -3x = -2 + -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 = -2 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
6 + 2x = -2 + 0
6 + 2x = -2

Add '-6' to each side of the equation.
6 + -6 + 2x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -2 + -6
2x = -2 + -6

Combine like terms: -2 + -6 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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