(5x-3)+(x+6)=(2x+67)

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Solution for (5x-3)+(x+6)=(2x+67) equation:


Simplifying
(5x + -3) + (x + 6) = (2x + 67)

Reorder the terms:
(-3 + 5x) + (x + 6) = (2x + 67)

Remove parenthesis around (-3 + 5x)
-3 + 5x + (x + 6) = (2x + 67)

Reorder the terms:
-3 + 5x + (6 + x) = (2x + 67)

Remove parenthesis around (6 + x)
-3 + 5x + 6 + x = (2x + 67)

Reorder the terms:
-3 + 6 + 5x + x = (2x + 67)

Combine like terms: -3 + 6 = 3
3 + 5x + x = (2x + 67)

Combine like terms: 5x + x = 6x
3 + 6x = (2x + 67)

Reorder the terms:
3 + 6x = (67 + 2x)

Remove parenthesis around (67 + 2x)
3 + 6x = 67 + 2x

Solving
3 + 6x = 67 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 6x + -2x = 67 + 2x + -2x

Combine like terms: 6x + -2x = 4x
3 + 4x = 67 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 4x = 67 + 0
3 + 4x = 67

Add '-3' to each side of the equation.
3 + -3 + 4x = 67 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 67 + -3
4x = 67 + -3

Combine like terms: 67 + -3 = 64
4x = 64

Divide each side by '4'.
x = 16

Simplifying
x = 16

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