4(x+2)+5=2(x-1)+18

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Solution for 4(x+2)+5=2(x-1)+18 equation:


Simplifying
4(x + 2) + 5 = 2(x + -1) + 18

Reorder the terms:
4(2 + x) + 5 = 2(x + -1) + 18
(2 * 4 + x * 4) + 5 = 2(x + -1) + 18
(8 + 4x) + 5 = 2(x + -1) + 18

Reorder the terms:
8 + 5 + 4x = 2(x + -1) + 18

Combine like terms: 8 + 5 = 13
13 + 4x = 2(x + -1) + 18

Reorder the terms:
13 + 4x = 2(-1 + x) + 18
13 + 4x = (-1 * 2 + x * 2) + 18
13 + 4x = (-2 + 2x) + 18

Reorder the terms:
13 + 4x = -2 + 18 + 2x

Combine like terms: -2 + 18 = 16
13 + 4x = 16 + 2x

Solving
13 + 4x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
13 + 4x + -2x = 16 + 2x + -2x

Combine like terms: 4x + -2x = 2x
13 + 2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + 2x = 16 + 0
13 + 2x = 16

Add '-13' to each side of the equation.
13 + -13 + 2x = 16 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 16 + -13
2x = 16 + -13

Combine like terms: 16 + -13 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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