2(4x-11)-(6x-4)=-2

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Solution for 2(4x-11)-(6x-4)=-2 equation:


Simplifying
2(4x + -11) + -1(6x + -4) = -2

Reorder the terms:
2(-11 + 4x) + -1(6x + -4) = -2
(-11 * 2 + 4x * 2) + -1(6x + -4) = -2
(-22 + 8x) + -1(6x + -4) = -2

Reorder the terms:
-22 + 8x + -1(-4 + 6x) = -2
-22 + 8x + (-4 * -1 + 6x * -1) = -2
-22 + 8x + (4 + -6x) = -2

Reorder the terms:
-22 + 4 + 8x + -6x = -2

Combine like terms: -22 + 4 = -18
-18 + 8x + -6x = -2

Combine like terms: 8x + -6x = 2x
-18 + 2x = -2

Solving
-18 + 2x = -2

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 2x = -2 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -2 + 18
2x = -2 + 18

Combine like terms: -2 + 18 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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