6+9(x-2)=10-3(x-7)

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Solution for 6+9(x-2)=10-3(x-7) equation: 


Simplifying
6 + 9(x + -2) = 10 + -3(x + -7)

Reorder the terms:
6 + 9(-2 + x) = 10 + -3(x + -7)
6 + (-2 * 9 + x * 9) = 10 + -3(x + -7)
6 + (-18 + 9x) = 10 + -3(x + -7)

Combine like terms: 6 + -18 = -12
-12 + 9x = 10 + -3(x + -7)

Reorder the terms:
-12 + 9x = 10 + -3(-7 + x)
-12 + 9x = 10 + (-7 * -3 + x * -3)
-12 + 9x = 10 + (21 + -3x)

Combine like terms: 10 + 21 = 31
-12 + 9x = 31 + -3x

Solving
-12 + 9x = 31 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-12 + 9x + 3x = 31 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-12 + 12x = 31 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 12x = 31 + 0
-12 + 12x = 31

Add '12' to each side of the equation.
-12 + 12 + 12x = 31 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 31 + 12
12x = 31 + 12

Combine like terms: 31 + 12 = 43
12x = 43

Divide each side by '12'.
x = 3.583333333

Simplifying
x = 3.583333333

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