5(x-2)=0.5(2x-38)

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Solution for 5(x-2)=0.5(2x-38) equation:


Simplifying
5(x + -2) = 0.5(2x + -38)

Reorder the terms:
5(-2 + x) = 0.5(2x + -38)
(-2 * 5 + x * 5) = 0.5(2x + -38)
(-10 + 5x) = 0.5(2x + -38)

Reorder the terms:
-10 + 5x = 0.5(-38 + 2x)
-10 + 5x = (-38 * 0.5 + 2x * 0.5)
-10 + 5x = (-19 + 1x)

Solving
-10 + 5x = -19 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 5x + -1x = -19 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-10 + 4x = -19 + 1x + -1x

Combine like terms: 1x + -1x = 0
-10 + 4x = -19 + 0
-10 + 4x = -19

Add '10' to each side of the equation.
-10 + 10 + 4x = -19 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = -19 + 10
4x = -19 + 10

Combine like terms: -19 + 10 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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