69-(3x+5)=3(x+5)+x

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Solution for 69-(3x+5)=3(x+5)+x equation:


Simplifying
69 + -1(3x + 5) = 3(x + 5) + x

Reorder the terms:
69 + -1(5 + 3x) = 3(x + 5) + x
69 + (5 * -1 + 3x * -1) = 3(x + 5) + x
69 + (-5 + -3x) = 3(x + 5) + x

Combine like terms: 69 + -5 = 64
64 + -3x = 3(x + 5) + x

Reorder the terms:
64 + -3x = 3(5 + x) + x
64 + -3x = (5 * 3 + x * 3) + x
64 + -3x = (15 + 3x) + x

Combine like terms: 3x + x = 4x
64 + -3x = 15 + 4x

Solving
64 + -3x = 15 + 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.
64 + -3x + -4x = 15 + 4x + -4x

Combine like terms: -3x + -4x = -7x
64 + -7x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
64 + -7x = 15 + 0
64 + -7x = 15

Add '-64' to each side of the equation.
64 + -64 + -7x = 15 + -64

Combine like terms: 64 + -64 = 0
0 + -7x = 15 + -64
-7x = 15 + -64

Combine like terms: 15 + -64 = -49
-7x = -49

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

Simplifying
x = 7

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