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

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


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

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

Combine like terms: 6x + 2x = 8x
-11 + 8x = -2(2x + -3) + 4

Reorder the terms:
-11 + 8x = -2(-3 + 2x) + 4
-11 + 8x = (-3 * -2 + 2x * -2) + 4
-11 + 8x = (6 + -4x) + 4

Reorder the terms:
-11 + 8x = 6 + 4 + -4x

Combine like terms: 6 + 4 = 10
-11 + 8x = 10 + -4x

Solving
-11 + 8x = 10 + -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.
-11 + 8x + 4x = 10 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-11 + 12x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-11 + 12x = 10 + 0
-11 + 12x = 10

Add '11' to each side of the equation.
-11 + 11 + 12x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 12x = 10 + 11
12x = 10 + 11

Combine like terms: 10 + 11 = 21
12x = 21

Divide each side by '12'.
x = 1.75

Simplifying
x = 1.75

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