8(x-5)-(4-6x)=13

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Solution for 8(x-5)-(4-6x)=13 equation:


Simplifying
8(x + -5) + -1(4 + -6x) = 13

Reorder the terms:
8(-5 + x) + -1(4 + -6x) = 13
(-5 * 8 + x * 8) + -1(4 + -6x) = 13
(-40 + 8x) + -1(4 + -6x) = 13
-40 + 8x + (4 * -1 + -6x * -1) = 13
-40 + 8x + (-4 + 6x) = 13

Reorder the terms:
-40 + -4 + 8x + 6x = 13

Combine like terms: -40 + -4 = -44
-44 + 8x + 6x = 13

Combine like terms: 8x + 6x = 14x
-44 + 14x = 13

Solving
-44 + 14x = 13

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + 14x = 13 + 44

Combine like terms: -44 + 44 = 0
0 + 14x = 13 + 44
14x = 13 + 44

Combine like terms: 13 + 44 = 57
14x = 57

Divide each side by '14'.
x = 4.071428571

Simplifying
x = 4.071428571

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