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

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Solution for 8(x-6)-2(x-5)+9x= equation:


Simplifying
8(x + -6) + -2(x + -5) + 9x = 0

Reorder the terms:
8(-6 + x) + -2(x + -5) + 9x = 0
(-6 * 8 + x * 8) + -2(x + -5) + 9x = 0
(-48 + 8x) + -2(x + -5) + 9x = 0

Reorder the terms:
-48 + 8x + -2(-5 + x) + 9x = 0
-48 + 8x + (-5 * -2 + x * -2) + 9x = 0
-48 + 8x + (10 + -2x) + 9x = 0

Reorder the terms:
-48 + 10 + 8x + -2x + 9x = 0

Combine like terms: -48 + 10 = -38
-38 + 8x + -2x + 9x = 0

Combine like terms: 8x + -2x = 6x
-38 + 6x + 9x = 0

Combine like terms: 6x + 9x = 15x
-38 + 15x = 0

Solving
-38 + 15x = 0

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 15x = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 15x = 0 + 38
15x = 0 + 38

Combine like terms: 0 + 38 = 38
15x = 38

Divide each side by '15'.
x = 2.533333333

Simplifying
x = 2.533333333

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