60-(3x+15)=3(x+8)+x

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Solution for 60-(3x+15)=3(x+8)+x equation:


Simplifying
60 + -1(3x + 15) = 3(x + 8) + x

Reorder the terms:
60 + -1(15 + 3x) = 3(x + 8) + x
60 + (15 * -1 + 3x * -1) = 3(x + 8) + x
60 + (-15 + -3x) = 3(x + 8) + x

Combine like terms: 60 + -15 = 45
45 + -3x = 3(x + 8) + x

Reorder the terms:
45 + -3x = 3(8 + x) + x
45 + -3x = (8 * 3 + x * 3) + x
45 + -3x = (24 + 3x) + x

Combine like terms: 3x + x = 4x
45 + -3x = 24 + 4x

Solving
45 + -3x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
45 + -3x + -4x = 24 + 4x + -4x

Combine like terms: -3x + -4x = -7x
45 + -7x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
45 + -7x = 24 + 0
45 + -7x = 24

Add '-45' to each side of the equation.
45 + -45 + -7x = 24 + -45

Combine like terms: 45 + -45 = 0
0 + -7x = 24 + -45
-7x = 24 + -45

Combine like terms: 24 + -45 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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