3*(0.2x-5)-4*(0.3x-5)=10+0.4x

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Solution for 3*(0.2x-5)-4*(0.3x-5)=10+0.4x equation:


Simplifying
3(0.2x + -5) + -4(0.3x + -5) = 10 + 0.4x

Reorder the terms:
3(-5 + 0.2x) + -4(0.3x + -5) = 10 + 0.4x
(-5 * 3 + 0.2x * 3) + -4(0.3x + -5) = 10 + 0.4x
(-15 + 0.6x) + -4(0.3x + -5) = 10 + 0.4x

Reorder the terms:
-15 + 0.6x + -4(-5 + 0.3x) = 10 + 0.4x
-15 + 0.6x + (-5 * -4 + 0.3x * -4) = 10 + 0.4x
-15 + 0.6x + (20 + -1.2x) = 10 + 0.4x

Reorder the terms:
-15 + 20 + 0.6x + -1.2x = 10 + 0.4x

Combine like terms: -15 + 20 = 5
5 + 0.6x + -1.2x = 10 + 0.4x

Combine like terms: 0.6x + -1.2x = -0.6x
5 + -0.6x = 10 + 0.4x

Solving
5 + -0.6x = 10 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
5 + -0.6x + -0.4x = 10 + 0.4x + -0.4x

Combine like terms: -0.6x + -0.4x = -1x
5 + -1x = 10 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
5 + -1x = 10 + 0.0
5 + -1x = 10

Add '-5' to each side of the equation.
5 + -5 + -1x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 10 + -5
-1x = 10 + -5

Combine like terms: 10 + -5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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