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

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


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

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

Reorder the terms:
-3 + 3x + -4(3 + x) = 5
-3 + 3x + (3 * -4 + x * -4) = 5
-3 + 3x + (-12 + -4x) = 5

Reorder the terms:
-3 + -12 + 3x + -4x = 5

Combine like terms: -3 + -12 = -15
-15 + 3x + -4x = 5

Combine like terms: 3x + -4x = -1x
-15 + -1x = 5

Solving
-15 + -1x = 5

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 5 + 15
-1x = 5 + 15

Combine like terms: 5 + 15 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20

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