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

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


Simplifying
3(x + -2) = 2 + -1(x + 3) + 4

Reorder the terms:
3(-2 + x) = 2 + -1(x + 3) + 4
(-2 * 3 + x * 3) = 2 + -1(x + 3) + 4
(-6 + 3x) = 2 + -1(x + 3) + 4

Reorder the terms:
-6 + 3x = 2 + -1(3 + x) + 4
-6 + 3x = 2 + (3 * -1 + x * -1) + 4
-6 + 3x = 2 + (-3 + -1x) + 4

Reorder the terms:
-6 + 3x = 2 + -3 + 4 + -1x

Combine like terms: 2 + -3 = -1
-6 + 3x = -1 + 4 + -1x

Combine like terms: -1 + 4 = 3
-6 + 3x = 3 + -1x

Solving
-6 + 3x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 3x + x = 3 + -1x + x

Combine like terms: 3x + x = 4x
-6 + 4x = 3 + -1x + x

Combine like terms: -1x + x = 0
-6 + 4x = 3 + 0
-6 + 4x = 3

Add '6' to each side of the equation.
-6 + 6 + 4x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 3 + 6
4x = 3 + 6

Combine like terms: 3 + 6 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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