4x+5=12x-13

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Solution for 4x+5=12x-13 equation:


Simplifying
4x + 5 = 12x + -13

Reorder the terms:
5 + 4x = 12x + -13

Reorder the terms:
5 + 4x = -13 + 12x

Solving
5 + 4x = -13 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
5 + 4x + -12x = -13 + 12x + -12x

Combine like terms: 4x + -12x = -8x
5 + -8x = -13 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -8x = -13 + 0
5 + -8x = -13

Add '-5' to each side of the equation.
5 + -5 + -8x = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -13 + -5
-8x = -13 + -5

Combine like terms: -13 + -5 = -18
-8x = -18

Divide each side by '-8'.
x = 2.25

Simplifying
x = 2.25

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