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

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


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

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

Reorder the terms:
-12 + 4x + -2(4 + x) = 6
-12 + 4x + (4 * -2 + x * -2) = 6
-12 + 4x + (-8 + -2x) = 6

Reorder the terms:
-12 + -8 + 4x + -2x = 6

Combine like terms: -12 + -8 = -20
-20 + 4x + -2x = 6

Combine like terms: 4x + -2x = 2x
-20 + 2x = 6

Solving
-20 + 2x = 6

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 2x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = 6 + 20
2x = 6 + 20

Combine like terms: 6 + 20 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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