5x+3=7x-10

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


Simplifying
5x + 3 = 7x + -10

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

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

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

Combine like terms: 5x + -7x = -2x
3 + -2x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -2x = -10 + 0
3 + -2x = -10

Add '-3' to each side of the equation.
3 + -3 + -2x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -10 + -3
-2x = -10 + -3

Combine like terms: -10 + -3 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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