7-2(x+3)+18=5(2x-1)

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Solution for 7-2(x+3)+18=5(2x-1) equation:


Simplifying
7 + -2(x + 3) + 18 = 5(2x + -1)

Reorder the terms:
7 + -2(3 + x) + 18 = 5(2x + -1)
7 + (3 * -2 + x * -2) + 18 = 5(2x + -1)
7 + (-6 + -2x) + 18 = 5(2x + -1)

Reorder the terms:
7 + -6 + 18 + -2x = 5(2x + -1)

Combine like terms: 7 + -6 = 1
1 + 18 + -2x = 5(2x + -1)

Combine like terms: 1 + 18 = 19
19 + -2x = 5(2x + -1)

Reorder the terms:
19 + -2x = 5(-1 + 2x)
19 + -2x = (-1 * 5 + 2x * 5)
19 + -2x = (-5 + 10x)

Solving
19 + -2x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
19 + -2x + -10x = -5 + 10x + -10x

Combine like terms: -2x + -10x = -12x
19 + -12x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
19 + -12x = -5 + 0
19 + -12x = -5

Add '-19' to each side of the equation.
19 + -19 + -12x = -5 + -19

Combine like terms: 19 + -19 = 0
0 + -12x = -5 + -19
-12x = -5 + -19

Combine like terms: -5 + -19 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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