2x+3x+48=10-13x+2

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Solution for 2x+3x+48=10-13x+2 equation:


Simplifying
2x + 3x + 48 = 10 + -13x + 2

Reorder the terms:
48 + 2x + 3x = 10 + -13x + 2

Combine like terms: 2x + 3x = 5x
48 + 5x = 10 + -13x + 2

Reorder the terms:
48 + 5x = 10 + 2 + -13x

Combine like terms: 10 + 2 = 12
48 + 5x = 12 + -13x

Solving
48 + 5x = 12 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
48 + 5x + 13x = 12 + -13x + 13x

Combine like terms: 5x + 13x = 18x
48 + 18x = 12 + -13x + 13x

Combine like terms: -13x + 13x = 0
48 + 18x = 12 + 0
48 + 18x = 12

Add '-48' to each side of the equation.
48 + -48 + 18x = 12 + -48

Combine like terms: 48 + -48 = 0
0 + 18x = 12 + -48
18x = 12 + -48

Combine like terms: 12 + -48 = -36
18x = -36

Divide each side by '18'.
x = -2

Simplifying
x = -2

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