2(7x+8)-18=4x+8(1+x)

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Solution for 2(7x+8)-18=4x+8(1+x) equation:


Simplifying
2(7x + 8) + -18 = 4x + 8(1 + x)

Reorder the terms:
2(8 + 7x) + -18 = 4x + 8(1 + x)
(8 * 2 + 7x * 2) + -18 = 4x + 8(1 + x)
(16 + 14x) + -18 = 4x + 8(1 + x)

Reorder the terms:
16 + -18 + 14x = 4x + 8(1 + x)

Combine like terms: 16 + -18 = -2
-2 + 14x = 4x + 8(1 + x)
-2 + 14x = 4x + (1 * 8 + x * 8)
-2 + 14x = 4x + (8 + 8x)

Reorder the terms:
-2 + 14x = 8 + 4x + 8x

Combine like terms: 4x + 8x = 12x
-2 + 14x = 8 + 12x

Solving
-2 + 14x = 8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 14x + -12x = 8 + 12x + -12x

Combine like terms: 14x + -12x = 2x
-2 + 2x = 8 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + 2x = 8 + 0
-2 + 2x = 8

Add '2' to each side of the equation.
-2 + 2 + 2x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 8 + 2
2x = 8 + 2

Combine like terms: 8 + 2 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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