5(x+1)=20(x+10)

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Solution for 5(x+1)=20(x+10) equation:


Simplifying
5(x + 1) = 20(x + 10)

Reorder the terms:
5(1 + x) = 20(x + 10)
(1 * 5 + x * 5) = 20(x + 10)
(5 + 5x) = 20(x + 10)

Reorder the terms:
5 + 5x = 20(10 + x)
5 + 5x = (10 * 20 + x * 20)
5 + 5x = (200 + 20x)

Solving
5 + 5x = 200 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
5 + 5x + -20x = 200 + 20x + -20x

Combine like terms: 5x + -20x = -15x
5 + -15x = 200 + 20x + -20x

Combine like terms: 20x + -20x = 0
5 + -15x = 200 + 0
5 + -15x = 200

Add '-5' to each side of the equation.
5 + -5 + -15x = 200 + -5

Combine like terms: 5 + -5 = 0
0 + -15x = 200 + -5
-15x = 200 + -5

Combine like terms: 200 + -5 = 195
-15x = 195

Divide each side by '-15'.
x = -13

Simplifying
x = -13

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