6x+1=10x-13

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Solution for 6x+1=10x-13 equation:


Simplifying
6x + 1 = 10x + -13

Reorder the terms:
1 + 6x = 10x + -13

Reorder the terms:
1 + 6x = -13 + 10x

Solving
1 + 6x = -13 + 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.
1 + 6x + -10x = -13 + 10x + -10x

Combine like terms: 6x + -10x = -4x
1 + -4x = -13 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -4x = -13 + 0
1 + -4x = -13

Add '-1' to each side of the equation.
1 + -1 + -4x = -13 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -13 + -1
-4x = -13 + -1

Combine like terms: -13 + -1 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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