5(x-1)+3(x-4)=-11

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Solution for 5(x-1)+3(x-4)=-11 equation:


Simplifying
5(x + -1) + 3(x + -4) = -11

Reorder the terms:
5(-1 + x) + 3(x + -4) = -11
(-1 * 5 + x * 5) + 3(x + -4) = -11
(-5 + 5x) + 3(x + -4) = -11

Reorder the terms:
-5 + 5x + 3(-4 + x) = -11
-5 + 5x + (-4 * 3 + x * 3) = -11
-5 + 5x + (-12 + 3x) = -11

Reorder the terms:
-5 + -12 + 5x + 3x = -11

Combine like terms: -5 + -12 = -17
-17 + 5x + 3x = -11

Combine like terms: 5x + 3x = 8x
-17 + 8x = -11

Solving
-17 + 8x = -11

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 8x = -11 + 17

Combine like terms: -17 + 17 = 0
0 + 8x = -11 + 17
8x = -11 + 17

Combine like terms: -11 + 17 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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