712(x-698)+391108=302(2x+178)

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Solution for 712(x-698)+391108=302(2x+178) equation:


Simplifying
712(x + -698) + 391108 = 302(2x + 178)

Reorder the terms:
712(-698 + x) + 391108 = 302(2x + 178)
(-698 * 712 + x * 712) + 391108 = 302(2x + 178)
(-496976 + 712x) + 391108 = 302(2x + 178)

Reorder the terms:
-496976 + 391108 + 712x = 302(2x + 178)

Combine like terms: -496976 + 391108 = -105868
-105868 + 712x = 302(2x + 178)

Reorder the terms:
-105868 + 712x = 302(178 + 2x)
-105868 + 712x = (178 * 302 + 2x * 302)
-105868 + 712x = (53756 + 604x)

Solving
-105868 + 712x = 53756 + 604x

Solving for variable 'x'.

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

Add '-604x' to each side of the equation.
-105868 + 712x + -604x = 53756 + 604x + -604x

Combine like terms: 712x + -604x = 108x
-105868 + 108x = 53756 + 604x + -604x

Combine like terms: 604x + -604x = 0
-105868 + 108x = 53756 + 0
-105868 + 108x = 53756

Add '105868' to each side of the equation.
-105868 + 105868 + 108x = 53756 + 105868

Combine like terms: -105868 + 105868 = 0
0 + 108x = 53756 + 105868
108x = 53756 + 105868

Combine like terms: 53756 + 105868 = 159624
108x = 159624

Divide each side by '108'.
x = 1478

Simplifying
x = 1478

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