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

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


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

Reorder the terms:
3(-1 + 5x) + -4(x + -4) = -5
(-1 * 3 + 5x * 3) + -4(x + -4) = -5
(-3 + 15x) + -4(x + -4) = -5

Reorder the terms:
-3 + 15x + -4(-4 + x) = -5
-3 + 15x + (-4 * -4 + x * -4) = -5
-3 + 15x + (16 + -4x) = -5

Reorder the terms:
-3 + 16 + 15x + -4x = -5

Combine like terms: -3 + 16 = 13
13 + 15x + -4x = -5

Combine like terms: 15x + -4x = 11x
13 + 11x = -5

Solving
13 + 11x = -5

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 11x = -5 + -13

Combine like terms: 13 + -13 = 0
0 + 11x = -5 + -13
11x = -5 + -13

Combine like terms: -5 + -13 = -18
11x = -18

Divide each side by '11'.
x = -1.636363636

Simplifying
x = -1.636363636

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