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

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


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

Reorder the terms:
-2(-5 + x) + -1(-3x + 1) = 4
(-5 * -2 + x * -2) + -1(-3x + 1) = 4
(10 + -2x) + -1(-3x + 1) = 4

Reorder the terms:
10 + -2x + -1(1 + -3x) = 4
10 + -2x + (1 * -1 + -3x * -1) = 4
10 + -2x + (-1 + 3x) = 4

Reorder the terms:
10 + -1 + -2x + 3x = 4

Combine like terms: 10 + -1 = 9
9 + -2x + 3x = 4

Combine like terms: -2x + 3x = 1x
9 + 1x = 4

Solving
9 + 1x = 4

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 1x = 4 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 4 + -9
1x = 4 + -9

Combine like terms: 4 + -9 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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