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

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


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

Reorder the terms:
2(3 + 2x) + -4(2 + -3x) = 6 + x
(3 * 2 + 2x * 2) + -4(2 + -3x) = 6 + x
(6 + 4x) + -4(2 + -3x) = 6 + x
6 + 4x + (2 * -4 + -3x * -4) = 6 + x
6 + 4x + (-8 + 12x) = 6 + x

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

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

Combine like terms: 4x + 12x = 16x
-2 + 16x = 6 + x

Solving
-2 + 16x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 16x + -1x = 6 + x + -1x

Combine like terms: 16x + -1x = 15x
-2 + 15x = 6 + x + -1x

Combine like terms: x + -1x = 0
-2 + 15x = 6 + 0
-2 + 15x = 6

Add '2' to each side of the equation.
-2 + 2 + 15x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 15x = 6 + 2
15x = 6 + 2

Combine like terms: 6 + 2 = 8
15x = 8

Divide each side by '15'.
x = 0.5333333333

Simplifying
x = 0.5333333333

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