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

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


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

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

Remove parenthesis around (3 + x)
3 + x + -2(3 + -3x) = 2(x + 3) + -4
3 + x + (3 * -2 + -3x * -2) = 2(x + 3) + -4
3 + x + (-6 + 6x) = 2(x + 3) + -4

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

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

Combine like terms: x + 6x = 7x
-3 + 7x = 2(x + 3) + -4

Reorder the terms:
-3 + 7x = 2(3 + x) + -4
-3 + 7x = (3 * 2 + x * 2) + -4
-3 + 7x = (6 + 2x) + -4

Reorder the terms:
-3 + 7x = 6 + -4 + 2x

Combine like terms: 6 + -4 = 2
-3 + 7x = 2 + 2x

Solving
-3 + 7x = 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.
-3 + 7x + -2x = 2 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-3 + 5x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 5x = 2 + 0
-3 + 5x = 2

Add '3' to each side of the equation.
-3 + 3 + 5x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 2 + 3
5x = 2 + 3

Combine like terms: 2 + 3 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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