1x+9=5(4x-2)

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Solution for 1x+9=5(4x-2) equation:


Simplifying
1x + 9 = 5(4x + -2)

Reorder the terms:
9 + 1x = 5(4x + -2)

Reorder the terms:
9 + 1x = 5(-2 + 4x)
9 + 1x = (-2 * 5 + 4x * 5)
9 + 1x = (-10 + 20x)

Solving
9 + 1x = -10 + 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.
9 + 1x + -20x = -10 + 20x + -20x

Combine like terms: 1x + -20x = -19x
9 + -19x = -10 + 20x + -20x

Combine like terms: 20x + -20x = 0
9 + -19x = -10 + 0
9 + -19x = -10

Add '-9' to each side of the equation.
9 + -9 + -19x = -10 + -9

Combine like terms: 9 + -9 = 0
0 + -19x = -10 + -9
-19x = -10 + -9

Combine like terms: -10 + -9 = -19
-19x = -19

Divide each side by '-19'.
x = 1

Simplifying
x = 1

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