6(x-8)-2(x-7)+3x=

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Solution for 6(x-8)-2(x-7)+3x= equation:


Simplifying
6(x + -8) + -2(x + -7) + 3x = 0

Reorder the terms:
6(-8 + x) + -2(x + -7) + 3x = 0
(-8 * 6 + x * 6) + -2(x + -7) + 3x = 0
(-48 + 6x) + -2(x + -7) + 3x = 0

Reorder the terms:
-48 + 6x + -2(-7 + x) + 3x = 0
-48 + 6x + (-7 * -2 + x * -2) + 3x = 0
-48 + 6x + (14 + -2x) + 3x = 0

Reorder the terms:
-48 + 14 + 6x + -2x + 3x = 0

Combine like terms: -48 + 14 = -34
-34 + 6x + -2x + 3x = 0

Combine like terms: 6x + -2x = 4x
-34 + 4x + 3x = 0

Combine like terms: 4x + 3x = 7x
-34 + 7x = 0

Solving
-34 + 7x = 0

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 7x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 7x = 0 + 34
7x = 0 + 34

Combine like terms: 0 + 34 = 34
7x = 34

Divide each side by '7'.
x = 4.857142857

Simplifying
x = 4.857142857

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