7x-309=-4x+208

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Solution for 7x-309=-4x+208 equation:


Simplifying
7x + -309 = -4x + 208

Reorder the terms:
-309 + 7x = -4x + 208

Reorder the terms:
-309 + 7x = 208 + -4x

Solving
-309 + 7x = 208 + -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.
-309 + 7x + 4x = 208 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-309 + 11x = 208 + -4x + 4x

Combine like terms: -4x + 4x = 0
-309 + 11x = 208 + 0
-309 + 11x = 208

Add '309' to each side of the equation.
-309 + 309 + 11x = 208 + 309

Combine like terms: -309 + 309 = 0
0 + 11x = 208 + 309
11x = 208 + 309

Combine like terms: 208 + 309 = 517
11x = 517

Divide each side by '11'.
x = 47

Simplifying
x = 47

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