10x+20(x-2)=5x+15(x-3)

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Solution for 10x+20(x-2)=5x+15(x-3) equation:


Simplifying
10x + 20(x + -2) = 5x + 15(x + -3)

Reorder the terms:
10x + 20(-2 + x) = 5x + 15(x + -3)
10x + (-2 * 20 + x * 20) = 5x + 15(x + -3)
10x + (-40 + 20x) = 5x + 15(x + -3)

Reorder the terms:
-40 + 10x + 20x = 5x + 15(x + -3)

Combine like terms: 10x + 20x = 30x
-40 + 30x = 5x + 15(x + -3)

Reorder the terms:
-40 + 30x = 5x + 15(-3 + x)
-40 + 30x = 5x + (-3 * 15 + x * 15)
-40 + 30x = 5x + (-45 + 15x)

Reorder the terms:
-40 + 30x = -45 + 5x + 15x

Combine like terms: 5x + 15x = 20x
-40 + 30x = -45 + 20x

Solving
-40 + 30x = -45 + 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.
-40 + 30x + -20x = -45 + 20x + -20x

Combine like terms: 30x + -20x = 10x
-40 + 10x = -45 + 20x + -20x

Combine like terms: 20x + -20x = 0
-40 + 10x = -45 + 0
-40 + 10x = -45

Add '40' to each side of the equation.
-40 + 40 + 10x = -45 + 40

Combine like terms: -40 + 40 = 0
0 + 10x = -45 + 40
10x = -45 + 40

Combine like terms: -45 + 40 = -5
10x = -5

Divide each side by '10'.
x = -0.5

Simplifying
x = -0.5

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