85x+133=36(x+84)

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Solution for 85x+133=36(x+84) equation:


Simplifying
85x + 133 = 36(x + 84)

Reorder the terms:
133 + 85x = 36(x + 84)

Reorder the terms:
133 + 85x = 36(84 + x)
133 + 85x = (84 * 36 + x * 36)
133 + 85x = (3024 + 36x)

Solving
133 + 85x = 3024 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
133 + 85x + -36x = 3024 + 36x + -36x

Combine like terms: 85x + -36x = 49x
133 + 49x = 3024 + 36x + -36x

Combine like terms: 36x + -36x = 0
133 + 49x = 3024 + 0
133 + 49x = 3024

Add '-133' to each side of the equation.
133 + -133 + 49x = 3024 + -133

Combine like terms: 133 + -133 = 0
0 + 49x = 3024 + -133
49x = 3024 + -133

Combine like terms: 3024 + -133 = 2891
49x = 2891

Divide each side by '49'.
x = 59

Simplifying
x = 59

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