3x-2(8x-9)=3-(2x+7)

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Solution for 3x-2(8x-9)=3-(2x+7) equation:


Simplifying
3x + -2(8x + -9) = 3 + -1(2x + 7)

Reorder the terms:
3x + -2(-9 + 8x) = 3 + -1(2x + 7)
3x + (-9 * -2 + 8x * -2) = 3 + -1(2x + 7)
3x + (18 + -16x) = 3 + -1(2x + 7)

Reorder the terms:
18 + 3x + -16x = 3 + -1(2x + 7)

Combine like terms: 3x + -16x = -13x
18 + -13x = 3 + -1(2x + 7)

Reorder the terms:
18 + -13x = 3 + -1(7 + 2x)
18 + -13x = 3 + (7 * -1 + 2x * -1)
18 + -13x = 3 + (-7 + -2x)

Combine like terms: 3 + -7 = -4
18 + -13x = -4 + -2x

Solving
18 + -13x = -4 + -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.
18 + -13x + 2x = -4 + -2x + 2x

Combine like terms: -13x + 2x = -11x
18 + -11x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
18 + -11x = -4 + 0
18 + -11x = -4

Add '-18' to each side of the equation.
18 + -18 + -11x = -4 + -18

Combine like terms: 18 + -18 = 0
0 + -11x = -4 + -18
-11x = -4 + -18

Combine like terms: -4 + -18 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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