(x+3)-2(2-3x)=5(x+3)-4

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Solution for (x+3)-2(2-3x)=5(x+3)-4 equation:


Simplifying
(x + 3) + -2(2 + -3x) = 5(x + 3) + -4

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

Remove parenthesis around (3 + x)
3 + x + -2(2 + -3x) = 5(x + 3) + -4
3 + x + (2 * -2 + -3x * -2) = 5(x + 3) + -4
3 + x + (-4 + 6x) = 5(x + 3) + -4

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

Combine like terms: 3 + -4 = -1
-1 + x + 6x = 5(x + 3) + -4

Combine like terms: x + 6x = 7x
-1 + 7x = 5(x + 3) + -4

Reorder the terms:
-1 + 7x = 5(3 + x) + -4
-1 + 7x = (3 * 5 + x * 5) + -4
-1 + 7x = (15 + 5x) + -4

Reorder the terms:
-1 + 7x = 15 + -4 + 5x

Combine like terms: 15 + -4 = 11
-1 + 7x = 11 + 5x

Solving
-1 + 7x = 11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + 7x + -5x = 11 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-1 + 2x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + 2x = 11 + 0
-1 + 2x = 11

Add '1' to each side of the equation.
-1 + 1 + 2x = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 11 + 1
2x = 11 + 1

Combine like terms: 11 + 1 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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