3(x-5)-4(4-x)=60

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Solution for 3(x-5)-4(4-x)=60 equation: 


Simplifying
3(x + -5) + -4(4 + -1x) = 60

Reorder the terms:
3(-5 + x) + -4(4 + -1x) = 60
(-5 * 3 + x * 3) + -4(4 + -1x) = 60
(-15 + 3x) + -4(4 + -1x) = 60
-15 + 3x + (4 * -4 + -1x * -4) = 60
-15 + 3x + (-16 + 4x) = 60

Reorder the terms:
-15 + -16 + 3x + 4x = 60

Combine like terms: -15 + -16 = -31
-31 + 3x + 4x = 60

Combine like terms: 3x + 4x = 7x
-31 + 7x = 60

Solving
-31 + 7x = 60

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 7x = 60 + 31

Combine like terms: -31 + 31 = 0
0 + 7x = 60 + 31
7x = 60 + 31

Combine like terms: 60 + 31 = 91
7x = 91

Divide each side by '7'.
x = 13

Simplifying
x = 13

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