3*(7-4x)+8*(x-3)=13

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Solution for 3*(7-4x)+8*(x-3)=13 equation: 


Simplifying
3(7 + -4x) + 8(x + -3) = 13
(7 * 3 + -4x * 3) + 8(x + -3) = 13
(21 + -12x) + 8(x + -3) = 13

Reorder the terms:
21 + -12x + 8(-3 + x) = 13
21 + -12x + (-3 * 8 + x * 8) = 13
21 + -12x + (-24 + 8x) = 13

Reorder the terms:
21 + -24 + -12x + 8x = 13

Combine like terms: 21 + -24 = -3
-3 + -12x + 8x = 13

Combine like terms: -12x + 8x = -4x
-3 + -4x = 13

Solving
-3 + -4x = 13

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -4x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 13 + 3
-4x = 13 + 3

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

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

Simplifying
x = -4

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