6+2(x-9)=1-7(x-4)

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Solution for 6+2(x-9)=1-7(x-4) equation: 


Simplifying
6 + 2(x + -9) = 1 + -7(x + -4)

Reorder the terms:
6 + 2(-9 + x) = 1 + -7(x + -4)
6 + (-9 * 2 + x * 2) = 1 + -7(x + -4)
6 + (-18 + 2x) = 1 + -7(x + -4)

Combine like terms: 6 + -18 = -12
-12 + 2x = 1 + -7(x + -4)

Reorder the terms:
-12 + 2x = 1 + -7(-4 + x)
-12 + 2x = 1 + (-4 * -7 + x * -7)
-12 + 2x = 1 + (28 + -7x)

Combine like terms: 1 + 28 = 29
-12 + 2x = 29 + -7x

Solving
-12 + 2x = 29 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-12 + 2x + 7x = 29 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-12 + 9x = 29 + -7x + 7x

Combine like terms: -7x + 7x = 0
-12 + 9x = 29 + 0
-12 + 9x = 29

Add '12' to each side of the equation.
-12 + 12 + 9x = 29 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 29 + 12
9x = 29 + 12

Combine like terms: 29 + 12 = 41
9x = 41

Divide each side by '9'.
x = 4.555555556

Simplifying
x = 4.555555556

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