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

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


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

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

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

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

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

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

Combine like terms: 5x + -7x = -2x
-10 + -2x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -2x = 4 + 0
-10 + -2x = 4

Add '10' to each side of the equation.
-10 + 10 + -2x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = 4 + 10
-2x = 4 + 10

Combine like terms: 4 + 10 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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