6+4(x-9)=5-2(x-6)

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Solution for 6+4(x-9)=5-2(x-6) equation: 


Simplifying
6 + 4(x + -9) = 5 + -2(x + -6)

Reorder the terms:
6 + 4(-9 + x) = 5 + -2(x + -6)
6 + (-9 * 4 + x * 4) = 5 + -2(x + -6)
6 + (-36 + 4x) = 5 + -2(x + -6)

Combine like terms: 6 + -36 = -30
-30 + 4x = 5 + -2(x + -6)

Reorder the terms:
-30 + 4x = 5 + -2(-6 + x)
-30 + 4x = 5 + (-6 * -2 + x * -2)
-30 + 4x = 5 + (12 + -2x)

Combine like terms: 5 + 12 = 17
-30 + 4x = 17 + -2x

Solving
-30 + 4x = 17 + -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.
-30 + 4x + 2x = 17 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-30 + 6x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
-30 + 6x = 17 + 0
-30 + 6x = 17

Add '30' to each side of the equation.
-30 + 30 + 6x = 17 + 30

Combine like terms: -30 + 30 = 0
0 + 6x = 17 + 30
6x = 17 + 30

Combine like terms: 17 + 30 = 47
6x = 47

Divide each side by '6'.
x = 7.833333333

Simplifying
x = 7.833333333

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