10x-7=3x+28

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Solution for 10x-7=3x+28 equation:


Simplifying
10x + -7 = 3x + 28

Reorder the terms:
-7 + 10x = 3x + 28

Reorder the terms:
-7 + 10x = 28 + 3x

Solving
-7 + 10x = 28 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 10x + -3x = 28 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-7 + 7x = 28 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 7x = 28 + 0
-7 + 7x = 28

Add '7' to each side of the equation.
-7 + 7 + 7x = 28 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 28 + 7
7x = 28 + 7

Combine like terms: 28 + 7 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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