2(x+5)-4=3(x+1)-(2(3-2x)-3(3-x))

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Solution for 2(x+5)-4=3(x+1)-(2(3-2x)-3(3-x)) equation:


Simplifying
2(x + 5) + -4 = 3(x + 1) + -1(2(3 + -2x) + -3(3 + -1x))

Reorder the terms:
2(5 + x) + -4 = 3(x + 1) + -1(2(3 + -2x) + -3(3 + -1x))
(5 * 2 + x * 2) + -4 = 3(x + 1) + -1(2(3 + -2x) + -3(3 + -1x))
(10 + 2x) + -4 = 3(x + 1) + -1(2(3 + -2x) + -3(3 + -1x))

Reorder the terms:
10 + -4 + 2x = 3(x + 1) + -1(2(3 + -2x) + -3(3 + -1x))

Combine like terms: 10 + -4 = 6
6 + 2x = 3(x + 1) + -1(2(3 + -2x) + -3(3 + -1x))

Reorder the terms:
6 + 2x = 3(1 + x) + -1(2(3 + -2x) + -3(3 + -1x))
6 + 2x = (1 * 3 + x * 3) + -1(2(3 + -2x) + -3(3 + -1x))
6 + 2x = (3 + 3x) + -1(2(3 + -2x) + -3(3 + -1x))
6 + 2x = 3 + 3x + -1((3 * 2 + -2x * 2) + -3(3 + -1x))
6 + 2x = 3 + 3x + -1((6 + -4x) + -3(3 + -1x))
6 + 2x = 3 + 3x + -1(6 + -4x + (3 * -3 + -1x * -3))
6 + 2x = 3 + 3x + -1(6 + -4x + (-9 + 3x))

Reorder the terms:
6 + 2x = 3 + 3x + -1(6 + -9 + -4x + 3x)

Combine like terms: 6 + -9 = -3
6 + 2x = 3 + 3x + -1(-3 + -4x + 3x)

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 6 + -6 + 4x

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

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

Solving
2x = 4x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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