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

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


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

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

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

Combine like terms: -2 + 4 = 2
3 + -1(2 + 5x + 2x) = 5 + -1(2(x + -3) + -3(x + -2))

Combine like terms: 5x + 2x = 7x
3 + -1(2 + 7x) = 5 + -1(2(x + -3) + -3(x + -2))
3 + (2 * -1 + 7x * -1) = 5 + -1(2(x + -3) + -3(x + -2))
3 + (-2 + -7x) = 5 + -1(2(x + -3) + -3(x + -2))

Combine like terms: 3 + -2 = 1
1 + -7x = 5 + -1(2(x + -3) + -3(x + -2))

Reorder the terms:
1 + -7x = 5 + -1(2(-3 + x) + -3(x + -2))
1 + -7x = 5 + -1((-3 * 2 + x * 2) + -3(x + -2))
1 + -7x = 5 + -1((-6 + 2x) + -3(x + -2))

Reorder the terms:
1 + -7x = 5 + -1(-6 + 2x + -3(-2 + x))
1 + -7x = 5 + -1(-6 + 2x + (-2 * -3 + x * -3))
1 + -7x = 5 + -1(-6 + 2x + (6 + -3x))

Reorder the terms:
1 + -7x = 5 + -1(-6 + 6 + 2x + -3x)

Combine like terms: -6 + 6 = 0
1 + -7x = 5 + -1(0 + 2x + -3x)
1 + -7x = 5 + -1(2x + -3x)

Combine like terms: 2x + -3x = -1x
1 + -7x = 5 + -1(-1x)

Remove parenthesis around (-1x)
1 + -7x = 5 + -1 * -1x

Multiply -1 * -1
1 + -7x = 5 + 1x

Solving
1 + -7x = 5 + 1x

Solving for variable 'x'.

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

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

Combine like terms: -7x + -1x = -8x
1 + -8x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
1 + -8x = 5 + 0
1 + -8x = 5

Add '-1' to each side of the equation.
1 + -1 + -8x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 5 + -1
-8x = 5 + -1

Combine like terms: 5 + -1 = 4
-8x = 4

Divide each side by '-8'.
x = -0.5

Simplifying
x = -0.5

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