2(4x+17)=(9+18x)-(8x-7)

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Solution for 2(4x+17)=(9+18x)-(8x-7) equation:


Simplifying
2(4x + 17) = (9 + 18x) + -1(8x + -7)

Reorder the terms:
2(17 + 4x) = (9 + 18x) + -1(8x + -7)
(17 * 2 + 4x * 2) = (9 + 18x) + -1(8x + -7)
(34 + 8x) = (9 + 18x) + -1(8x + -7)

Remove parenthesis around (9 + 18x)
34 + 8x = 9 + 18x + -1(8x + -7)

Reorder the terms:
34 + 8x = 9 + 18x + -1(-7 + 8x)
34 + 8x = 9 + 18x + (-7 * -1 + 8x * -1)
34 + 8x = 9 + 18x + (7 + -8x)

Reorder the terms:
34 + 8x = 9 + 7 + 18x + -8x

Combine like terms: 9 + 7 = 16
34 + 8x = 16 + 18x + -8x

Combine like terms: 18x + -8x = 10x
34 + 8x = 16 + 10x

Solving
34 + 8x = 16 + 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.
34 + 8x + -10x = 16 + 10x + -10x

Combine like terms: 8x + -10x = -2x
34 + -2x = 16 + 10x + -10x

Combine like terms: 10x + -10x = 0
34 + -2x = 16 + 0
34 + -2x = 16

Add '-34' to each side of the equation.
34 + -34 + -2x = 16 + -34

Combine like terms: 34 + -34 = 0
0 + -2x = 16 + -34
-2x = 16 + -34

Combine like terms: 16 + -34 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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