3x-6=10x+7

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Solution for 3x-6=10x+7 equation:


Simplifying
3x + -6 = 10x + 7

Reorder the terms:
-6 + 3x = 10x + 7

Reorder the terms:
-6 + 3x = 7 + 10x

Solving
-6 + 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.
-6 + 3x + -10x = 7 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-6 + -7x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -7x = 7 + 0
-6 + -7x = 7

Add '6' to each side of the equation.
-6 + 6 + -7x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 7 + 6
-7x = 7 + 6

Combine like terms: 7 + 6 = 13
-7x = 13

Divide each side by '-7'.
x = -1.857142857

Simplifying
x = -1.857142857

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