10(4x-1)=10(2x+9)

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Solution for 10(4x-1)=10(2x+9) equation:


Simplifying
10(4x + -1) = 10(2x + 9)

Reorder the terms:
10(-1 + 4x) = 10(2x + 9)
(-1 * 10 + 4x * 10) = 10(2x + 9)
(-10 + 40x) = 10(2x + 9)

Reorder the terms:
-10 + 40x = 10(9 + 2x)
-10 + 40x = (9 * 10 + 2x * 10)
-10 + 40x = (90 + 20x)

Solving
-10 + 40x = 90 + 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.
-10 + 40x + -20x = 90 + 20x + -20x

Combine like terms: 40x + -20x = 20x
-10 + 20x = 90 + 20x + -20x

Combine like terms: 20x + -20x = 0
-10 + 20x = 90 + 0
-10 + 20x = 90

Add '10' to each side of the equation.
-10 + 10 + 20x = 90 + 10

Combine like terms: -10 + 10 = 0
0 + 20x = 90 + 10
20x = 90 + 10

Combine like terms: 90 + 10 = 100
20x = 100

Divide each side by '20'.
x = 5

Simplifying
x = 5

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