5(x-4)+8(7-x)=

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


Simplifying
5(x + -4) + 8(7 + -1x) = 0

Reorder the terms:
5(-4 + x) + 8(7 + -1x) = 0
(-4 * 5 + x * 5) + 8(7 + -1x) = 0
(-20 + 5x) + 8(7 + -1x) = 0
-20 + 5x + (7 * 8 + -1x * 8) = 0
-20 + 5x + (56 + -8x) = 0

Reorder the terms:
-20 + 56 + 5x + -8x = 0

Combine like terms: -20 + 56 = 36
36 + 5x + -8x = 0

Combine like terms: 5x + -8x = -3x
36 + -3x = 0

Solving
36 + -3x = 0

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + -3x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 0 + -36
-3x = 0 + -36

Combine like terms: 0 + -36 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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