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

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


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

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

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

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

Combine like terms: 8 + 1 = 9
9 + -2x + -3x = 5x + 3

Combine like terms: -2x + -3x = -5x
9 + -5x = 5x + 3

Reorder the terms:
9 + -5x = 3 + 5x

Solving
9 + -5x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + -5x + -5x = 3 + 5x + -5x

Combine like terms: -5x + -5x = -10x
9 + -10x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -10x = 3 + 0
9 + -10x = 3

Add '-9' to each side of the equation.
9 + -9 + -10x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -10x = 3 + -9
-10x = 3 + -9

Combine like terms: 3 + -9 = -6
-10x = -6

Divide each side by '-10'.
x = 0.6

Simplifying
x = 0.6

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