6(x-4)+2(x-3)=10

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Solution for 6(x-4)+2(x-3)=10 equation: 


Simplifying
6(x + -4) + 2(x + -3) = 10

Reorder the terms:
6(-4 + x) + 2(x + -3) = 10
(-4 * 6 + x * 6) + 2(x + -3) = 10
(-24 + 6x) + 2(x + -3) = 10

Reorder the terms:
-24 + 6x + 2(-3 + x) = 10
-24 + 6x + (-3 * 2 + x * 2) = 10
-24 + 6x + (-6 + 2x) = 10

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

Combine like terms: -24 + -6 = -30
-30 + 6x + 2x = 10

Combine like terms: 6x + 2x = 8x
-30 + 8x = 10

Solving
-30 + 8x = 10

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 8x = 10 + 30

Combine like terms: -30 + 30 = 0
0 + 8x = 10 + 30
8x = 10 + 30

Combine like terms: 10 + 30 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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