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

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


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

Reorder the terms:
3(-6 + 4x) + -2(x + 4) = 10
(-6 * 3 + 4x * 3) + -2(x + 4) = 10
(-18 + 12x) + -2(x + 4) = 10

Reorder the terms:
-18 + 12x + -2(4 + x) = 10
-18 + 12x + (4 * -2 + x * -2) = 10
-18 + 12x + (-8 + -2x) = 10

Reorder the terms:
-18 + -8 + 12x + -2x = 10

Combine like terms: -18 + -8 = -26
-26 + 12x + -2x = 10

Combine like terms: 12x + -2x = 10x
-26 + 10x = 10

Solving
-26 + 10x = 10

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 10x = 10 + 26

Combine like terms: -26 + 26 = 0
0 + 10x = 10 + 26
10x = 10 + 26

Combine like terms: 10 + 26 = 36
10x = 36

Divide each side by '10'.
x = 3.6

Simplifying
x = 3.6

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