6(x-8)-4(x-5)+7x=

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Solution for 6(x-8)-4(x-5)+7x= equation:


Simplifying
6(x + -8) + -4(x + -5) + 7x = 0

Reorder the terms:
6(-8 + x) + -4(x + -5) + 7x = 0
(-8 * 6 + x * 6) + -4(x + -5) + 7x = 0
(-48 + 6x) + -4(x + -5) + 7x = 0

Reorder the terms:
-48 + 6x + -4(-5 + x) + 7x = 0
-48 + 6x + (-5 * -4 + x * -4) + 7x = 0
-48 + 6x + (20 + -4x) + 7x = 0

Reorder the terms:
-48 + 20 + 6x + -4x + 7x = 0

Combine like terms: -48 + 20 = -28
-28 + 6x + -4x + 7x = 0

Combine like terms: 6x + -4x = 2x
-28 + 2x + 7x = 0

Combine like terms: 2x + 7x = 9x
-28 + 9x = 0

Solving
-28 + 9x = 0

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 9x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 9x = 0 + 28
9x = 0 + 28

Combine like terms: 0 + 28 = 28
9x = 28

Divide each side by '9'.
x = 3.111111111

Simplifying
x = 3.111111111

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