6+5(x-6)=10-8(x-1)

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Solution for 6+5(x-6)=10-8(x-1) equation: 


Simplifying
6 + 5(x + -6) = 10 + -8(x + -1)

Reorder the terms:
6 + 5(-6 + x) = 10 + -8(x + -1)
6 + (-6 * 5 + x * 5) = 10 + -8(x + -1)
6 + (-30 + 5x) = 10 + -8(x + -1)

Combine like terms: 6 + -30 = -24
-24 + 5x = 10 + -8(x + -1)

Reorder the terms:
-24 + 5x = 10 + -8(-1 + x)
-24 + 5x = 10 + (-1 * -8 + x * -8)
-24 + 5x = 10 + (8 + -8x)

Combine like terms: 10 + 8 = 18
-24 + 5x = 18 + -8x

Solving
-24 + 5x = 18 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-24 + 5x + 8x = 18 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-24 + 13x = 18 + -8x + 8x

Combine like terms: -8x + 8x = 0
-24 + 13x = 18 + 0
-24 + 13x = 18

Add '24' to each side of the equation.
-24 + 24 + 13x = 18 + 24

Combine like terms: -24 + 24 = 0
0 + 13x = 18 + 24
13x = 18 + 24

Combine like terms: 18 + 24 = 42
13x = 42

Divide each side by '13'.
x = 3.230769231

Simplifying
x = 3.230769231

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