-5(2x-3)+0.5(4x+3)=-64

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Solution for -5(2x-3)+0.5(4x+3)=-64 equation:


Simplifying
-5(2x + -3) + 0.5(4x + 3) = -64

Reorder the terms:
-5(-3 + 2x) + 0.5(4x + 3) = -64
(-3 * -5 + 2x * -5) + 0.5(4x + 3) = -64
(15 + -10x) + 0.5(4x + 3) = -64

Reorder the terms:
15 + -10x + 0.5(3 + 4x) = -64
15 + -10x + (3 * 0.5 + 4x * 0.5) = -64
15 + -10x + (1.5 + 2x) = -64

Reorder the terms:
15 + 1.5 + -10x + 2x = -64

Combine like terms: 15 + 1.5 = 16.5
16.5 + -10x + 2x = -64

Combine like terms: -10x + 2x = -8x
16.5 + -8x = -64

Solving
16.5 + -8x = -64

Solving for variable 'x'.

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

Add '-16.5' to each side of the equation.
16.5 + -16.5 + -8x = -64 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -8x = -64 + -16.5
-8x = -64 + -16.5

Combine like terms: -64 + -16.5 = -80.5
-8x = -80.5

Divide each side by '-8'.
x = 10.0625

Simplifying
x = 10.0625

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