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

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


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

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

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

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

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

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

Reorder the terms:
2 + 5x = 2 + -1[-5 + -2 + -1 + 5x + 4x]

Combine like terms: -5 + -2 = -7
2 + 5x = 2 + -1[-7 + -1 + 5x + 4x]

Combine like terms: -7 + -1 = -8
2 + 5x = 2 + -1[-8 + 5x + 4x]

Combine like terms: 5x + 4x = 9x
2 + 5x = 2 + -1[-8 + 9x]
2 + 5x = 2 + [-8 * -1 + 9x * -1]
2 + 5x = 2 + [8 + -9x]

Combine like terms: 2 + 8 = 10
2 + 5x = 10 + -9x

Solving
2 + 5x = 10 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2 + 5x + 9x = 10 + -9x + 9x

Combine like terms: 5x + 9x = 14x
2 + 14x = 10 + -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 14x = 10 + 0
2 + 14x = 10

Add '-2' to each side of the equation.
2 + -2 + 14x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 14x = 10 + -2
14x = 10 + -2

Combine like terms: 10 + -2 = 8
14x = 8

Divide each side by '14'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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