5x-10=4x+7

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Solution for 5x-10=4x+7 equation:


Simplifying
5x + -10 = 4x + 7

Reorder the terms:
-10 + 5x = 4x + 7

Reorder the terms:
-10 + 5x = 7 + 4x

Solving
-10 + 5x = 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.
-10 + 5x + -4x = 7 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-10 + 1x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 1x = 7 + 0
-10 + 1x = 7

Add '10' to each side of the equation.
-10 + 10 + 1x = 7 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 7 + 10
1x = 7 + 10

Combine like terms: 7 + 10 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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