6(x-3)-2(x-1)=10

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Solution for 6(x-3)-2(x-1)=10 equation: 


Simplifying
6(x + -3) + -2(x + -1) = 10

Reorder the terms:
6(-3 + x) + -2(x + -1) = 10
(-3 * 6 + x * 6) + -2(x + -1) = 10
(-18 + 6x) + -2(x + -1) = 10

Reorder the terms:
-18 + 6x + -2(-1 + x) = 10
-18 + 6x + (-1 * -2 + x * -2) = 10
-18 + 6x + (2 + -2x) = 10

Reorder the terms:
-18 + 2 + 6x + -2x = 10

Combine like terms: -18 + 2 = -16
-16 + 6x + -2x = 10

Combine like terms: 6x + -2x = 4x
-16 + 4x = 10

Solving
-16 + 4x = 10

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 4x = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 10 + 16
4x = 10 + 16

Combine like terms: 10 + 16 = 26
4x = 26

Divide each side by '4'.
x = 6.5

Simplifying
x = 6.5

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