-5(2x-0.3)+0.5(4x+3)=-64

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Solution for -5(2x-0.3)+0.5(4x+3)=-64 equation:


Simplifying
-5(2x + -0.3) + 0.5(4x + 3) = -64

Reorder the terms:
-5(-0.3 + 2x) + 0.5(4x + 3) = -64
(-0.3 * -5 + 2x * -5) + 0.5(4x + 3) = -64
(1.5 + -10x) + 0.5(4x + 3) = -64

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

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

Combine like terms: 1.5 + 1.5 = 3
3 + -10x + 2x = -64

Combine like terms: -10x + 2x = -8x
3 + -8x = -64

Solving
3 + -8x = -64

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -8x = -64 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -64 + -3
-8x = -64 + -3

Combine like terms: -64 + -3 = -67
-8x = -67

Divide each side by '-8'.
x = 8.375

Simplifying
x = 8.375

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