8+3(x-9)=1-2(x-6)

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Solution for 8+3(x-9)=1-2(x-6) equation:


Simplifying
8 + 3(x + -9) = 1 + -2(x + -6)

Reorder the terms:
8 + 3(-9 + x) = 1 + -2(x + -6)
8 + (-9 * 3 + x * 3) = 1 + -2(x + -6)
8 + (-27 + 3x) = 1 + -2(x + -6)

Combine like terms: 8 + -27 = -19
-19 + 3x = 1 + -2(x + -6)

Reorder the terms:
-19 + 3x = 1 + -2(-6 + x)
-19 + 3x = 1 + (-6 * -2 + x * -2)
-19 + 3x = 1 + (12 + -2x)

Combine like terms: 1 + 12 = 13
-19 + 3x = 13 + -2x

Solving
-19 + 3x = 13 + -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.
-19 + 3x + 2x = 13 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-19 + 5x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-19 + 5x = 13 + 0
-19 + 5x = 13

Add '19' to each side of the equation.
-19 + 19 + 5x = 13 + 19

Combine like terms: -19 + 19 = 0
0 + 5x = 13 + 19
5x = 13 + 19

Combine like terms: 13 + 19 = 32
5x = 32

Divide each side by '5'.
x = 6.4

Simplifying
x = 6.4

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