3x+7=10x-5

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Solution for 3x+7=10x-5 equation:


Simplifying
3x + 7 = 10x + -5

Reorder the terms:
7 + 3x = 10x + -5

Reorder the terms:
7 + 3x = -5 + 10x

Solving
7 + 3x = -5 + 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.
7 + 3x + -10x = -5 + 10x + -10x

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

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

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

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

Combine like terms: -5 + -7 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714

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