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

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


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

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

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

Combine like terms: 2 + 8 = 10
10 + -1x + -3x = x + -3 + -1(4 + -5x)

Combine like terms: -1x + -3x = -4x
10 + -4x = x + -3 + -1(4 + -5x)
10 + -4x = x + -3 + (4 * -1 + -5x * -1)
10 + -4x = x + -3 + (-4 + 5x)

Reorder the terms:
10 + -4x = -3 + -4 + x + 5x

Combine like terms: -3 + -4 = -7
10 + -4x = -7 + x + 5x

Combine like terms: x + 5x = 6x
10 + -4x = -7 + 6x

Solving
10 + -4x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + -4x + -6x = -7 + 6x + -6x

Combine like terms: -4x + -6x = -10x
10 + -10x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -10x = -7 + 0
10 + -10x = -7

Add '-10' to each side of the equation.
10 + -10 + -10x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = -7 + -10
-10x = -7 + -10

Combine like terms: -7 + -10 = -17
-10x = -17

Divide each side by '-10'.
x = 1.7

Simplifying
x = 1.7

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