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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