(253+33x)+(36x+356)=(5x+673)+(5x+42)

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Solution for (253+33x)+(36x+356)=(5x+673)+(5x+42) equation:


Simplifying
(253 + 33x) + (36x + 356) = (5x + 673) + (5x + 42)

Remove parenthesis around (253 + 33x)
253 + 33x + (36x + 356) = (5x + 673) + (5x + 42)

Reorder the terms:
253 + 33x + (356 + 36x) = (5x + 673) + (5x + 42)

Remove parenthesis around (356 + 36x)
253 + 33x + 356 + 36x = (5x + 673) + (5x + 42)

Reorder the terms:
253 + 356 + 33x + 36x = (5x + 673) + (5x + 42)

Combine like terms: 253 + 356 = 609
609 + 33x + 36x = (5x + 673) + (5x + 42)

Combine like terms: 33x + 36x = 69x
609 + 69x = (5x + 673) + (5x + 42)

Reorder the terms:
609 + 69x = (673 + 5x) + (5x + 42)

Remove parenthesis around (673 + 5x)
609 + 69x = 673 + 5x + (5x + 42)

Reorder the terms:
609 + 69x = 673 + 5x + (42 + 5x)

Remove parenthesis around (42 + 5x)
609 + 69x = 673 + 5x + 42 + 5x

Reorder the terms:
609 + 69x = 673 + 42 + 5x + 5x

Combine like terms: 673 + 42 = 715
609 + 69x = 715 + 5x + 5x

Combine like terms: 5x + 5x = 10x
609 + 69x = 715 + 10x

Solving
609 + 69x = 715 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
609 + 69x + -10x = 715 + 10x + -10x

Combine like terms: 69x + -10x = 59x
609 + 59x = 715 + 10x + -10x

Combine like terms: 10x + -10x = 0
609 + 59x = 715 + 0
609 + 59x = 715

Add '-609' to each side of the equation.
609 + -609 + 59x = 715 + -609

Combine like terms: 609 + -609 = 0
0 + 59x = 715 + -609
59x = 715 + -609

Combine like terms: 715 + -609 = 106
59x = 106

Divide each side by '59'.
x = 1.796610169

Simplifying
x = 1.796610169

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