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

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


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

Combine like terms: 6 + 4 = 10
10 + -6x = 6x + 2(2x + -3)

Reorder the terms:
10 + -6x = 6x + 2(-3 + 2x)
10 + -6x = 6x + (-3 * 2 + 2x * 2)
10 + -6x = 6x + (-6 + 4x)

Reorder the terms:
10 + -6x = -6 + 6x + 4x

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

Solving
10 + -6x = -6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
10 + -6x + -10x = -6 + 10x + -10x

Combine like terms: -6x + -10x = -16x
10 + -16x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
10 + -16x = -6 + 0
10 + -16x = -6

Add '-10' to each side of the equation.
10 + -10 + -16x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -16x = -6 + -10
-16x = -6 + -10

Combine like terms: -6 + -10 = -16
-16x = -16

Divide each side by '-16'.
x = 1

Simplifying
x = 1

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