0.4(2x+.5)=3[0.2+(-2)]-4

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Solution for 0.4(2x+.5)=3[0.2+(-2)]-4 equation: 


Simplifying
0.4(2x + 0.5) = 3[0.2 + (-2)] + -4

Reorder the terms:
0.4(0.5 + 2x) = 3[0.2 + (-2)] + -4
(0.5 * 0.4 + 2x * 0.4) = 3[0.2 + (-2)] + -4
(0.2 + 0.8x) = 3[0.2 + (-2)] + -4
0.2 + 0.8x = 3[0.2 + -2] + -4

Combine like terms: 0.2 + -2 = -1.8
0.2 + 0.8x = 3[-1.8] + -4

Multiply 3 * -1.8
0.2 + 0.8x = -5.4 + -4

Combine like terms: -5.4 + -4 = -9.4
0.2 + 0.8x = -9.4

Solving
0.2 + 0.8x = -9.4

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.8x = -9.4 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.8x = -9.4 + -0.2
0.8x = -9.4 + -0.2

Combine like terms: -9.4 + -0.2 = -9.6
0.8x = -9.6

Divide each side by '0.8'.
x = -12

Simplifying
x = -12

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