10x+5=7x-3

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


Simplifying
10x + 5 = 7x + -3

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

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

Solving
5 + 10x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 10x + -7x = -3 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
5 + 3x = -3 + 0
5 + 3x = -3

Add '-5' to each side of the equation.
5 + -5 + 3x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -3 + -5
3x = -3 + -5

Combine like terms: -3 + -5 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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