5.5x+625=(100+x)(6)

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Solution for 5.5x+625=(100+x)(6) equation:


Simplifying
5.5x + 625 = (100 + x)(6)

Reorder the terms:
625 + 5.5x = (100 + x)(6)

Reorder the terms for easier multiplication:
625 + 5.5x = 6(100 + x)
625 + 5.5x = (100 * 6 + x * 6)
625 + 5.5x = (600 + 6x)

Solving
625 + 5.5x = 600 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
625 + 5.5x + -6x = 600 + 6x + -6x

Combine like terms: 5.5x + -6x = -0.5x
625 + -0.5x = 600 + 6x + -6x

Combine like terms: 6x + -6x = 0
625 + -0.5x = 600 + 0
625 + -0.5x = 600

Add '-625' to each side of the equation.
625 + -625 + -0.5x = 600 + -625

Combine like terms: 625 + -625 = 0
0 + -0.5x = 600 + -625
-0.5x = 600 + -625

Combine like terms: 600 + -625 = -25
-0.5x = -25

Divide each side by '-0.5'.
x = 50

Simplifying
x = 50

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