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

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Solution for 3(x+1)-8=7x-2(x-9) equation:


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

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

Reorder the terms:
3 + -8 + 3x = 7x + -2(x + -9)

Combine like terms: 3 + -8 = -5
-5 + 3x = 7x + -2(x + -9)

Reorder the terms:
-5 + 3x = 7x + -2(-9 + x)
-5 + 3x = 7x + (-9 * -2 + x * -2)
-5 + 3x = 7x + (18 + -2x)

Reorder the terms:
-5 + 3x = 18 + 7x + -2x

Combine like terms: 7x + -2x = 5x
-5 + 3x = 18 + 5x

Solving
-5 + 3x = 18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 3x + -5x = 18 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-5 + -2x = 18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -2x = 18 + 0
-5 + -2x = 18

Add '5' to each side of the equation.
-5 + 5 + -2x = 18 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 18 + 5
-2x = 18 + 5

Combine like terms: 18 + 5 = 23
-2x = 23

Divide each side by '-2'.
x = -11.5

Simplifying
x = -11.5

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