4(x+2)-18=24-2(x+1)

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Solution for 4(x+2)-18=24-2(x+1) equation:


Simplifying
4(x + 2) + -18 = 24 + -2(x + 1)

Reorder the terms:
4(2 + x) + -18 = 24 + -2(x + 1)
(2 * 4 + x * 4) + -18 = 24 + -2(x + 1)
(8 + 4x) + -18 = 24 + -2(x + 1)

Reorder the terms:
8 + -18 + 4x = 24 + -2(x + 1)

Combine like terms: 8 + -18 = -10
-10 + 4x = 24 + -2(x + 1)

Reorder the terms:
-10 + 4x = 24 + -2(1 + x)
-10 + 4x = 24 + (1 * -2 + x * -2)
-10 + 4x = 24 + (-2 + -2x)

Combine like terms: 24 + -2 = 22
-10 + 4x = 22 + -2x

Solving
-10 + 4x = 22 + -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.
-10 + 4x + 2x = 22 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-10 + 6x = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 6x = 22 + 0
-10 + 6x = 22

Add '10' to each side of the equation.
-10 + 10 + 6x = 22 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 22 + 10
6x = 22 + 10

Combine like terms: 22 + 10 = 32
6x = 32

Divide each side by '6'.
x = 5.333333333

Simplifying
x = 5.333333333

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