5(4x-7)-3(8x+1)=-41

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Solution for 5(4x-7)-3(8x+1)=-41 equation:


Simplifying
5(4x + -7) + -3(8x + 1) = -41

Reorder the terms:
5(-7 + 4x) + -3(8x + 1) = -41
(-7 * 5 + 4x * 5) + -3(8x + 1) = -41
(-35 + 20x) + -3(8x + 1) = -41

Reorder the terms:
-35 + 20x + -3(1 + 8x) = -41
-35 + 20x + (1 * -3 + 8x * -3) = -41
-35 + 20x + (-3 + -24x) = -41

Reorder the terms:
-35 + -3 + 20x + -24x = -41

Combine like terms: -35 + -3 = -38
-38 + 20x + -24x = -41

Combine like terms: 20x + -24x = -4x
-38 + -4x = -41

Solving
-38 + -4x = -41

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + -4x = -41 + 38

Combine like terms: -38 + 38 = 0
0 + -4x = -41 + 38
-4x = -41 + 38

Combine like terms: -41 + 38 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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