49+2x-13=5(x+3)

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Solution for 49+2x-13=5(x+3) equation:


Simplifying
49 + 2x + -13 = 5(x + 3)

Reorder the terms:
49 + -13 + 2x = 5(x + 3)

Combine like terms: 49 + -13 = 36
36 + 2x = 5(x + 3)

Reorder the terms:
36 + 2x = 5(3 + x)
36 + 2x = (3 * 5 + x * 5)
36 + 2x = (15 + 5x)

Solving
36 + 2x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
36 + 2x + -5x = 15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
36 + -3x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + -3x = 15 + 0
36 + -3x = 15

Add '-36' to each side of the equation.
36 + -36 + -3x = 15 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 15 + -36
-3x = 15 + -36

Combine like terms: 15 + -36 = -21
-3x = -21

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

Simplifying
x = 7

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