4x+5=13x-10

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Solution for 4x+5=13x-10 equation:


Simplifying
4x + 5 = 13x + -10

Reorder the terms:
5 + 4x = 13x + -10

Reorder the terms:
5 + 4x = -10 + 13x

Solving
5 + 4x = -10 + 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.
5 + 4x + -13x = -10 + 13x + -13x

Combine like terms: 4x + -13x = -9x
5 + -9x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
5 + -9x = -10 + 0
5 + -9x = -10

Add '-5' to each side of the equation.
5 + -5 + -9x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -10 + -5
-9x = -10 + -5

Combine like terms: -10 + -5 = -15
-9x = -15

Divide each side by '-9'.
x = 1.666666667

Simplifying
x = 1.666666667

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