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

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


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

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

Combine like terms: 2x + 3x = 5x
-6 + 5x = 4 + -2(x + 3)

Reorder the terms:
-6 + 5x = 4 + -2(3 + x)
-6 + 5x = 4 + (3 * -2 + x * -2)
-6 + 5x = 4 + (-6 + -2x)

Combine like terms: 4 + -6 = -2
-6 + 5x = -2 + -2x

Solving
-6 + 5x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 5x + 2x = -2 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-6 + 7x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 7x = -2 + 0
-6 + 7x = -2

Add '6' to each side of the equation.
-6 + 6 + 7x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = -2 + 6
7x = -2 + 6

Combine like terms: -2 + 6 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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