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

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


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

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

Reorder the terms:
-48 + 6x + -2(-5 + x) + 5x = 0
-48 + 6x + (-5 * -2 + x * -2) + 5x = 0
-48 + 6x + (10 + -2x) + 5x = 0

Reorder the terms:
-48 + 10 + 6x + -2x + 5x = 0

Combine like terms: -48 + 10 = -38
-38 + 6x + -2x + 5x = 0

Combine like terms: 6x + -2x = 4x
-38 + 4x + 5x = 0

Combine like terms: 4x + 5x = 9x
-38 + 9x = 0

Solving
-38 + 9x = 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 + 9x = 0 + 38

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

Combine like terms: 0 + 38 = 38
9x = 38

Divide each side by '9'.
x = 4.222222222

Simplifying
x = 4.222222222

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