-4(x-1)+13=-3x+12

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Solution for -4(x-1)+13=-3x+12 equation:


Simplifying
-4(x + -1) + 13 = -3x + 12

Reorder the terms:
-4(-1 + x) + 13 = -3x + 12
(-1 * -4 + x * -4) + 13 = -3x + 12
(4 + -4x) + 13 = -3x + 12

Reorder the terms:
4 + 13 + -4x = -3x + 12

Combine like terms: 4 + 13 = 17
17 + -4x = -3x + 12

Reorder the terms:
17 + -4x = 12 + -3x

Solving
17 + -4x = 12 + -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.
17 + -4x + 3x = 12 + -3x + 3x

Combine like terms: -4x + 3x = -1x
17 + -1x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + -1x = 12 + 0
17 + -1x = 12

Add '-17' to each side of the equation.
17 + -17 + -1x = 12 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 12 + -17
-1x = 12 + -17

Combine like terms: 12 + -17 = -5
-1x = -5

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

Simplifying
x = 5

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