3x+8=10x-7

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Solution for 3x+8=10x-7 equation:


Simplifying
3x + 8 = 10x + -7

Reorder the terms:
8 + 3x = 10x + -7

Reorder the terms:
8 + 3x = -7 + 10x

Solving
8 + 3x = -7 + 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.
8 + 3x + -10x = -7 + 10x + -10x

Combine like terms: 3x + -10x = -7x
8 + -7x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -7x = -7 + 0
8 + -7x = -7

Add '-8' to each side of the equation.
8 + -8 + -7x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -7 + -8
-7x = -7 + -8

Combine like terms: -7 + -8 = -15
-7x = -15

Divide each side by '-7'.
x = 2.142857143

Simplifying
x = 2.142857143

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