3x+4=13x-6

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Solution for 3x+4=13x-6 equation:


Simplifying
3x + 4 = 13x + -6

Reorder the terms:
4 + 3x = 13x + -6

Reorder the terms:
4 + 3x = -6 + 13x

Solving
4 + 3x = -6 + 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 + 3x + -13x = -6 + 13x + -13x

Combine like terms: 3x + -13x = -10x
4 + -10x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 0
4 + -10x = -6 + 0
4 + -10x = -6

Add '-4' to each side of the equation.
4 + -4 + -10x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -10x = -6 + -4
-10x = -6 + -4

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

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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