4x+13=10x-21

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Solution for 4x+13=10x-21 equation:


Simplifying
4x + 13 = 10x + -21

Reorder the terms:
13 + 4x = 10x + -21

Reorder the terms:
13 + 4x = -21 + 10x

Solving
13 + 4x = -21 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
13 + 4x + -10x = -21 + 10x + -10x

Combine like terms: 4x + -10x = -6x
13 + -6x = -21 + 10x + -10x

Combine like terms: 10x + -10x = 0
13 + -6x = -21 + 0
13 + -6x = -21

Add '-13' to each side of the equation.
13 + -13 + -6x = -21 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = -21 + -13
-6x = -21 + -13

Combine like terms: -21 + -13 = -34
-6x = -34

Divide each side by '-6'.
x = 5.666666667

Simplifying
x = 5.666666667

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