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

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


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

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

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

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

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

Combine like terms: 3x + -8x = -5x
-5 + -5x = 5

Solving
-5 + -5x = 5

Solving for variable 'x'.

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

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

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

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

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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