9+4(x-1)=8-2(x-5)

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Solution for 9+4(x-1)=8-2(x-5) equation:


Simplifying
9 + 4(x + -1) = 8 + -2(x + -5)

Reorder the terms:
9 + 4(-1 + x) = 8 + -2(x + -5)
9 + (-1 * 4 + x * 4) = 8 + -2(x + -5)
9 + (-4 + 4x) = 8 + -2(x + -5)

Combine like terms: 9 + -4 = 5
5 + 4x = 8 + -2(x + -5)

Reorder the terms:
5 + 4x = 8 + -2(-5 + x)
5 + 4x = 8 + (-5 * -2 + x * -2)
5 + 4x = 8 + (10 + -2x)

Combine like terms: 8 + 10 = 18
5 + 4x = 18 + -2x

Solving
5 + 4x = 18 + -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.
5 + 4x + 2x = 18 + -2x + 2x

Combine like terms: 4x + 2x = 6x
5 + 6x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 6x = 18 + 0
5 + 6x = 18

Add '-5' to each side of the equation.
5 + -5 + 6x = 18 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 18 + -5
6x = 18 + -5

Combine like terms: 18 + -5 = 13
6x = 13

Divide each side by '6'.
x = 2.166666667

Simplifying
x = 2.166666667

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