2(4x+-1)-(5x-3)=6-(3x+2)

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Solution for 2(4x+-1)-(5x-3)=6-(3x+2) equation:


Simplifying
2(4x + -1) + -1(5x + -3) = 6 + -1(3x + 2)

Reorder the terms:
2(-1 + 4x) + -1(5x + -3) = 6 + -1(3x + 2)
(-1 * 2 + 4x * 2) + -1(5x + -3) = 6 + -1(3x + 2)
(-2 + 8x) + -1(5x + -3) = 6 + -1(3x + 2)

Reorder the terms:
-2 + 8x + -1(-3 + 5x) = 6 + -1(3x + 2)
-2 + 8x + (-3 * -1 + 5x * -1) = 6 + -1(3x + 2)
-2 + 8x + (3 + -5x) = 6 + -1(3x + 2)

Reorder the terms:
-2 + 3 + 8x + -5x = 6 + -1(3x + 2)

Combine like terms: -2 + 3 = 1
1 + 8x + -5x = 6 + -1(3x + 2)

Combine like terms: 8x + -5x = 3x
1 + 3x = 6 + -1(3x + 2)

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

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

Solving
1 + 3x = 4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 3x + 3x = 4 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
1 + 6x = 4 + 0
1 + 6x = 4

Add '-1' to each side of the equation.
1 + -1 + 6x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 4 + -1
6x = 4 + -1

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

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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