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

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


Simplifying
3(4x + -2) = 2x + -1(3x + -10)

Reorder the terms:
3(-2 + 4x) = 2x + -1(3x + -10)
(-2 * 3 + 4x * 3) = 2x + -1(3x + -10)
(-6 + 12x) = 2x + -1(3x + -10)

Reorder the terms:
-6 + 12x = 2x + -1(-10 + 3x)
-6 + 12x = 2x + (-10 * -1 + 3x * -1)
-6 + 12x = 2x + (10 + -3x)

Reorder the terms:
-6 + 12x = 10 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-6 + 12x = 10 + -1x

Solving
-6 + 12x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 12x + x = 10 + -1x + x

Combine like terms: 12x + x = 13x
-6 + 13x = 10 + -1x + x

Combine like terms: -1x + x = 0
-6 + 13x = 10 + 0
-6 + 13x = 10

Add '6' to each side of the equation.
-6 + 6 + 13x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 10 + 6
13x = 10 + 6

Combine like terms: 10 + 6 = 16
13x = 16

Divide each side by '13'.
x = 1.230769231

Simplifying
x = 1.230769231

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