(15x+10)=(17x-4)

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Solution for (15x+10)=(17x-4) equation: 


Simplifying
(15x + 10) = (17x + -4)

Reorder the terms:
(10 + 15x) = (17x + -4)

Remove parenthesis around (10 + 15x)
10 + 15x = (17x + -4)

Reorder the terms:
10 + 15x = (-4 + 17x)

Remove parenthesis around (-4 + 17x)
10 + 15x = -4 + 17x

Solving
10 + 15x = -4 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
10 + 15x + -17x = -4 + 17x + -17x

Combine like terms: 15x + -17x = -2x
10 + -2x = -4 + 17x + -17x

Combine like terms: 17x + -17x = 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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