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

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


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

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

Reorder the terms:
-18 + 3x + 2(4 + x) = 4x + -2
-18 + 3x + (4 * 2 + x * 2) = 4x + -2
-18 + 3x + (8 + 2x) = 4x + -2

Reorder the terms:
-18 + 8 + 3x + 2x = 4x + -2

Combine like terms: -18 + 8 = -10
-10 + 3x + 2x = 4x + -2

Combine like terms: 3x + 2x = 5x
-10 + 5x = 4x + -2

Reorder the terms:
-10 + 5x = -2 + 4x

Solving
-10 + 5x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 5x + -4x = -2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-10 + 1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 1x = -2 + 0
-10 + 1x = -2

Add '10' to each side of the equation.
-10 + 10 + 1x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -2 + 10
1x = -2 + 10

Combine like terms: -2 + 10 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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