2(x-2)+6=-3(3-2x)+10

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Solution for 2(x-2)+6=-3(3-2x)+10 equation: 


Simplifying
2(x + -2) + 6 = -3(3 + -2x) + 10

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

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

Combine like terms: -4 + 6 = 2
2 + 2x = -3(3 + -2x) + 10
2 + 2x = (3 * -3 + -2x * -3) + 10
2 + 2x = (-9 + 6x) + 10

Reorder the terms:
2 + 2x = -9 + 10 + 6x

Combine like terms: -9 + 10 = 1
2 + 2x = 1 + 6x

Solving
2 + 2x = 1 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 2x + -6x = -4x
2 + -4x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -4x = 1 + 0
2 + -4x = 1

Add '-2' to each side of the equation.
2 + -2 + -4x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 1 + -2
-4x = 1 + -2

Combine like terms: 1 + -2 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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