2(9+x)*5=x(6)+x(13)

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Solution for 2(9+x)*5=x(6)+x(13) equation:


Simplifying
2(9 + x) * 5 = x(6) + x(13)

Reorder the terms for easier multiplication:
2 * 5(9 + x) = x(6) + x(13)

Multiply 2 * 5
10(9 + x) = x(6) + x(13)
(9 * 10 + x * 10) = x(6) + x(13)
(90 + 10x) = x(6) + x(13)

Reorder the terms for easier multiplication:
90 + 10x = 6x + x(13)

Reorder the terms for easier multiplication:
90 + 10x = 6x + 13x

Combine like terms: 6x + 13x = 19x
90 + 10x = 19x

Solving
90 + 10x = 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
90 + 10x + -19x = 19x + -19x

Combine like terms: 10x + -19x = -9x
90 + -9x = 19x + -19x

Combine like terms: 19x + -19x = 0
90 + -9x = 0

Add '-90' to each side of the equation.
90 + -90 + -9x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -9x = 0 + -90
-9x = 0 + -90

Combine like terms: 0 + -90 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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