10(0.1(x+-8)+-0.05(4x+-10))=0.3(10)

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Solution for 10(0.1(x+-8)+-0.05(4x+-10))=0.3(10) equation:


Simplifying
10(0.1(x + -8) + -0.05(4x + -10)) = 0.3(10)

Reorder the terms:
10(0.1(-8 + x) + -0.05(4x + -10)) = 0.3(10)
10((-8 * 0.1 + x * 0.1) + -0.05(4x + -10)) = 0.3(10)
10((-0.8 + 0.1x) + -0.05(4x + -10)) = 0.3(10)

Reorder the terms:
10(-0.8 + 0.1x + -0.05(-10 + 4x)) = 0.3(10)
10(-0.8 + 0.1x + (-10 * -0.05 + 4x * -0.05)) = 0.3(10)
10(-0.8 + 0.1x + (0.5 + -0.2x)) = 0.3(10)

Reorder the terms:
10(-0.8 + 0.5 + 0.1x + -0.2x) = 0.3(10)

Combine like terms: -0.8 + 0.5 = -0.3
10(-0.3 + 0.1x + -0.2x) = 0.3(10)

Combine like terms: 0.1x + -0.2x = -0.1x
10(-0.3 + -0.1x) = 0.3(10)
(-0.3 * 10 + -0.1x * 10) = 0.3(10)
(-3 + -1x) = 0.3(10)

Multiply 0.3 * 10
-3 + -1x = 3

Solving
-3 + -1x = 3

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 + -1x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 3 + 3
-1x = 3 + 3

Combine like terms: 3 + 3 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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