6(x+3)-2=17-(2x-7)

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Solution for 6(x+3)-2=17-(2x-7) equation:


Simplifying
6(x + 3) + -2 = 17 + -1(2x + -7)

Reorder the terms:
6(3 + x) + -2 = 17 + -1(2x + -7)
(3 * 6 + x * 6) + -2 = 17 + -1(2x + -7)
(18 + 6x) + -2 = 17 + -1(2x + -7)

Reorder the terms:
18 + -2 + 6x = 17 + -1(2x + -7)

Combine like terms: 18 + -2 = 16
16 + 6x = 17 + -1(2x + -7)

Reorder the terms:
16 + 6x = 17 + -1(-7 + 2x)
16 + 6x = 17 + (-7 * -1 + 2x * -1)
16 + 6x = 17 + (7 + -2x)

Combine like terms: 17 + 7 = 24
16 + 6x = 24 + -2x

Solving
16 + 6x = 24 + -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.
16 + 6x + 2x = 24 + -2x + 2x

Combine like terms: 6x + 2x = 8x
16 + 8x = 24 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + 8x = 24 + 0
16 + 8x = 24

Add '-16' to each side of the equation.
16 + -16 + 8x = 24 + -16

Combine like terms: 16 + -16 = 0
0 + 8x = 24 + -16
8x = 24 + -16

Combine like terms: 24 + -16 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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