3(x-7)-(6-8x)=10x

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Solution for 3(x-7)-(6-8x)=10x equation:


Simplifying
3(x + -7) + -1(6 + -8x) = 10x

Reorder the terms:
3(-7 + x) + -1(6 + -8x) = 10x
(-7 * 3 + x * 3) + -1(6 + -8x) = 10x
(-21 + 3x) + -1(6 + -8x) = 10x
-21 + 3x + (6 * -1 + -8x * -1) = 10x
-21 + 3x + (-6 + 8x) = 10x

Reorder the terms:
-21 + -6 + 3x + 8x = 10x

Combine like terms: -21 + -6 = -27
-27 + 3x + 8x = 10x

Combine like terms: 3x + 8x = 11x
-27 + 11x = 10x

Solving
-27 + 11x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-27 + 11x + -10x = 10x + -10x

Combine like terms: 11x + -10x = 1x
-27 + 1x = 10x + -10x

Combine like terms: 10x + -10x = 0
-27 + 1x = 0

Add '27' to each side of the equation.
-27 + 27 + 1x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = 0 + 27
1x = 0 + 27

Combine like terms: 0 + 27 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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