68-(3x+13)=3(x+2)+x

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Solution for 68-(3x+13)=3(x+2)+x equation:


Simplifying
68 + -1(3x + 13) = 3(x + 2) + x

Reorder the terms:
68 + -1(13 + 3x) = 3(x + 2) + x
68 + (13 * -1 + 3x * -1) = 3(x + 2) + x
68 + (-13 + -3x) = 3(x + 2) + x

Combine like terms: 68 + -13 = 55
55 + -3x = 3(x + 2) + x

Reorder the terms:
55 + -3x = 3(2 + x) + x
55 + -3x = (2 * 3 + x * 3) + x
55 + -3x = (6 + 3x) + x

Combine like terms: 3x + x = 4x
55 + -3x = 6 + 4x

Solving
55 + -3x = 6 + 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.
55 + -3x + -4x = 6 + 4x + -4x

Combine like terms: -3x + -4x = -7x
55 + -7x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
55 + -7x = 6 + 0
55 + -7x = 6

Add '-55' to each side of the equation.
55 + -55 + -7x = 6 + -55

Combine like terms: 55 + -55 = 0
0 + -7x = 6 + -55
-7x = 6 + -55

Combine like terms: 6 + -55 = -49
-7x = -49

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

Simplifying
x = 7

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