2(1+5x)=9(x-5)

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Solution for 2(1+5x)=9(x-5) equation:


Simplifying
2(1 + 5x) = 9(x + -5)
(1 * 2 + 5x * 2) = 9(x + -5)
(2 + 10x) = 9(x + -5)

Reorder the terms:
2 + 10x = 9(-5 + x)
2 + 10x = (-5 * 9 + x * 9)
2 + 10x = (-45 + 9x)

Solving
2 + 10x = -45 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 10x + -9x = -45 + 9x + -9x

Combine like terms: 10x + -9x = 1x
2 + 1x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + 1x = -45 + 0
2 + 1x = -45

Add '-2' to each side of the equation.
2 + -2 + 1x = -45 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -45 + -2
1x = -45 + -2

Combine like terms: -45 + -2 = -47
1x = -47

Divide each side by '1'.
x = -47

Simplifying
x = -47

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