2x+13x+45=4x+7x+15

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Solution for 2x+13x+45=4x+7x+15 equation:


Simplifying
2x + 13x + 45 = 4x + 7x + 15

Reorder the terms:
45 + 2x + 13x = 4x + 7x + 15

Combine like terms: 2x + 13x = 15x
45 + 15x = 4x + 7x + 15

Reorder the terms:
45 + 15x = 15 + 4x + 7x

Combine like terms: 4x + 7x = 11x
45 + 15x = 15 + 11x

Solving
45 + 15x = 15 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
45 + 15x + -11x = 15 + 11x + -11x

Combine like terms: 15x + -11x = 4x
45 + 4x = 15 + 11x + -11x

Combine like terms: 11x + -11x = 0
45 + 4x = 15 + 0
45 + 4x = 15

Add '-45' to each side of the equation.
45 + -45 + 4x = 15 + -45

Combine like terms: 45 + -45 = 0
0 + 4x = 15 + -45
4x = 15 + -45

Combine like terms: 15 + -45 = -30
4x = -30

Divide each side by '4'.
x = -7.5

Simplifying
x = -7.5

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