(10x-5)=(7x+4)

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


Simplifying
(10x + -5) = (7x + 4)

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

Remove parenthesis around (-5 + 10x)
-5 + 10x = (7x + 4)

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

Remove parenthesis around (4 + 7x)
-5 + 10x = 4 + 7x

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

Combine like terms: 10x + -7x = 3x
-5 + 3x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + 3x = 4 + 0
-5 + 3x = 4

Add '5' to each side of the equation.
-5 + 5 + 3x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 4 + 5
3x = 4 + 5

Combine like terms: 4 + 5 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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