3x+5=10x-14

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Solution for 3x+5=10x-14 equation:


Simplifying
3x + 5 = 10x + -14

Reorder the terms:
5 + 3x = 10x + -14

Reorder the terms:
5 + 3x = -14 + 10x

Solving
5 + 3x = -14 + 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.
5 + 3x + -10x = -14 + 10x + -10x

Combine like terms: 3x + -10x = -7x
5 + -7x = -14 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -7x = -14 + 0
5 + -7x = -14

Add '-5' to each side of the equation.
5 + -5 + -7x = -14 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -14 + -5
-7x = -14 + -5

Combine like terms: -14 + -5 = -19
-7x = -19

Divide each side by '-7'.
x = 2.714285714

Simplifying
x = 2.714285714

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