6(x+4)-2(x-7)=10

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Solution for 6(x+4)-2(x-7)=10 equation: 


Simplifying
6(x + 4) + -2(x + -7) = 10

Reorder the terms:
6(4 + x) + -2(x + -7) = 10
(4 * 6 + x * 6) + -2(x + -7) = 10
(24 + 6x) + -2(x + -7) = 10

Reorder the terms:
24 + 6x + -2(-7 + x) = 10
24 + 6x + (-7 * -2 + x * -2) = 10
24 + 6x + (14 + -2x) = 10

Reorder the terms:
24 + 14 + 6x + -2x = 10

Combine like terms: 24 + 14 = 38
38 + 6x + -2x = 10

Combine like terms: 6x + -2x = 4x
38 + 4x = 10

Solving
38 + 4x = 10

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 + 4x = 10 + -38

Combine like terms: 38 + -38 = 0
0 + 4x = 10 + -38
4x = 10 + -38

Combine like terms: 10 + -38 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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