2(4x-3)-(5x-8)=7-(3x+2)

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Solution for 2(4x-3)-(5x-8)=7-(3x+2) equation:


Simplifying
2(4x + -3) + -1(5x + -8) = 7 + -1(3x + 2)

Reorder the terms:
2(-3 + 4x) + -1(5x + -8) = 7 + -1(3x + 2)
(-3 * 2 + 4x * 2) + -1(5x + -8) = 7 + -1(3x + 2)
(-6 + 8x) + -1(5x + -8) = 7 + -1(3x + 2)

Reorder the terms:
-6 + 8x + -1(-8 + 5x) = 7 + -1(3x + 2)
-6 + 8x + (-8 * -1 + 5x * -1) = 7 + -1(3x + 2)
-6 + 8x + (8 + -5x) = 7 + -1(3x + 2)

Reorder the terms:
-6 + 8 + 8x + -5x = 7 + -1(3x + 2)

Combine like terms: -6 + 8 = 2
2 + 8x + -5x = 7 + -1(3x + 2)

Combine like terms: 8x + -5x = 3x
2 + 3x = 7 + -1(3x + 2)

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

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

Solving
2 + 3x = 5 + -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.
2 + 3x + 3x = 5 + -3x + 3x

Combine like terms: 3x + 3x = 6x
2 + 6x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 6x = 5 + 0
2 + 6x = 5

Add '-2' to each side of the equation.
2 + -2 + 6x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 5 + -2
6x = 5 + -2

Combine like terms: 5 + -2 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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