.5x+4(x-2)=2(3x+5)

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Solution for .5x+4(x-2)=2(3x+5) equation:


Simplifying
0.5x + 4(x + -2) = 2(3x + 5)

Reorder the terms:
0.5x + 4(-2 + x) = 2(3x + 5)
0.5x + (-2 * 4 + x * 4) = 2(3x + 5)
0.5x + (-8 + 4x) = 2(3x + 5)

Reorder the terms:
-8 + 0.5x + 4x = 2(3x + 5)

Combine like terms: 0.5x + 4x = 4.5x
-8 + 4.5x = 2(3x + 5)

Reorder the terms:
-8 + 4.5x = 2(5 + 3x)
-8 + 4.5x = (5 * 2 + 3x * 2)
-8 + 4.5x = (10 + 6x)

Solving
-8 + 4.5x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 4.5x + -6x = 10 + 6x + -6x

Combine like terms: 4.5x + -6x = -1.5x
-8 + -1.5x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -1.5x = 10 + 0
-8 + -1.5x = 10

Add '8' to each side of the equation.
-8 + 8 + -1.5x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -1.5x = 10 + 8
-1.5x = 10 + 8

Combine like terms: 10 + 8 = 18
-1.5x = 18

Divide each side by '-1.5'.
x = -12

Simplifying
x = -12

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