10x-3=4x+7

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Solution for 10x-3=4x+7 equation:


Simplifying
10x + -3 = 4x + 7

Reorder the terms:
-3 + 10x = 4x + 7

Reorder the terms:
-3 + 10x = 7 + 4x

Solving
-3 + 10x = 7 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-3 + 10x + -4x = 7 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-3 + 6x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 6x = 7 + 0
-3 + 6x = 7

Add '3' to each side of the equation.
-3 + 3 + 6x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 7 + 3
6x = 7 + 3

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

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667

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