4(3x-5)+12(x-5)=70

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Solution for 4(3x-5)+12(x-5)=70 equation: 


Simplifying
4(3x + -5) + 12(x + -5) = 70

Reorder the terms:
4(-5 + 3x) + 12(x + -5) = 70
(-5 * 4 + 3x * 4) + 12(x + -5) = 70
(-20 + 12x) + 12(x + -5) = 70

Reorder the terms:
-20 + 12x + 12(-5 + x) = 70
-20 + 12x + (-5 * 12 + x * 12) = 70
-20 + 12x + (-60 + 12x) = 70

Reorder the terms:
-20 + -60 + 12x + 12x = 70

Combine like terms: -20 + -60 = -80
-80 + 12x + 12x = 70

Combine like terms: 12x + 12x = 24x
-80 + 24x = 70

Solving
-80 + 24x = 70

Solving for variable 'x'.

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

Add '80' to each side of the equation.
-80 + 80 + 24x = 70 + 80

Combine like terms: -80 + 80 = 0
0 + 24x = 70 + 80
24x = 70 + 80

Combine like terms: 70 + 80 = 150
24x = 150

Divide each side by '24'.
x = 6.25

Simplifying
x = 6.25

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