10x+4=13x-5

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


Simplifying
10x + 4 = 13x + -5

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

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

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

Combine like terms: 10x + -13x = -3x
4 + -3x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 0
4 + -3x = -5 + 0
4 + -3x = -5

Add '-4' to each side of the equation.
4 + -4 + -3x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -5 + -4
-3x = -5 + -4

Combine like terms: -5 + -4 = -9
-3x = -9

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

Simplifying
x = 3

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