-6x+2x-11=-2(x-3)+4

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Solution for -6x+2x-11=-2(x-3)+4 equation:


Simplifying
-6x + 2x + -11 = -2(x + -3) + 4

Reorder the terms:
-11 + -6x + 2x = -2(x + -3) + 4

Combine like terms: -6x + 2x = -4x
-11 + -4x = -2(x + -3) + 4

Reorder the terms:
-11 + -4x = -2(-3 + x) + 4
-11 + -4x = (-3 * -2 + x * -2) + 4
-11 + -4x = (6 + -2x) + 4

Reorder the terms:
-11 + -4x = 6 + 4 + -2x

Combine like terms: 6 + 4 = 10
-11 + -4x = 10 + -2x

Solving
-11 + -4x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-11 + -4x + 2x = 10 + -2x + 2x

Combine like terms: -4x + 2x = -2x
-11 + -2x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-11 + -2x = 10 + 0
-11 + -2x = 10

Add '11' to each side of the equation.
-11 + 11 + -2x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 10 + 11
-2x = 10 + 11

Combine like terms: 10 + 11 = 21
-2x = 21

Divide each side by '-2'.
x = -10.5

Simplifying
x = -10.5

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