5(x-2)=10(3x+9)

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Solution for 5(x-2)=10(3x+9) equation:


Simplifying
5(x + -2) = 10(3x + 9)

Reorder the terms:
5(-2 + x) = 10(3x + 9)
(-2 * 5 + x * 5) = 10(3x + 9)
(-10 + 5x) = 10(3x + 9)

Reorder the terms:
-10 + 5x = 10(9 + 3x)
-10 + 5x = (9 * 10 + 3x * 10)
-10 + 5x = (90 + 30x)

Solving
-10 + 5x = 90 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-10 + 5x + -30x = 90 + 30x + -30x

Combine like terms: 5x + -30x = -25x
-10 + -25x = 90 + 30x + -30x

Combine like terms: 30x + -30x = 0
-10 + -25x = 90 + 0
-10 + -25x = 90

Add '10' to each side of the equation.
-10 + 10 + -25x = 90 + 10

Combine like terms: -10 + 10 = 0
0 + -25x = 90 + 10
-25x = 90 + 10

Combine like terms: 90 + 10 = 100
-25x = 100

Divide each side by '-25'.
x = -4

Simplifying
x = -4

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