69-(3x+10)=3(x+8)+x

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Solution for 69-(3x+10)=3(x+8)+x equation: 


Simplifying
69 + -1(3x + 10) = 3(x + 8) + x

Reorder the terms:
69 + -1(10 + 3x) = 3(x + 8) + x
69 + (10 * -1 + 3x * -1) = 3(x + 8) + x
69 + (-10 + -3x) = 3(x + 8) + x

Combine like terms: 69 + -10 = 59
59 + -3x = 3(x + 8) + x

Reorder the terms:
59 + -3x = 3(8 + x) + x
59 + -3x = (8 * 3 + x * 3) + x
59 + -3x = (24 + 3x) + x

Combine like terms: 3x + x = 4x
59 + -3x = 24 + 4x

Solving
59 + -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.
59 + -3x + -4x = 24 + 4x + -4x

Combine like terms: -3x + -4x = -7x
59 + -7x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
59 + -7x = 24 + 0
59 + -7x = 24

Add '-59' to each side of the equation.
59 + -59 + -7x = 24 + -59

Combine like terms: 59 + -59 = 0
0 + -7x = 24 + -59
-7x = 24 + -59

Combine like terms: 24 + -59 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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