0.5(3x-10)-0.2(2x+4)=7.4

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Solution for 0.5(3x-10)-0.2(2x+4)=7.4 equation:


Simplifying
0.5(3x + -10) + -0.2(2x + 4) = 7.4

Reorder the terms:
0.5(-10 + 3x) + -0.2(2x + 4) = 7.4
(-10 * 0.5 + 3x * 0.5) + -0.2(2x + 4) = 7.4
(-5 + 1.5x) + -0.2(2x + 4) = 7.4

Reorder the terms:
-5 + 1.5x + -0.2(4 + 2x) = 7.4
-5 + 1.5x + (4 * -0.2 + 2x * -0.2) = 7.4
-5 + 1.5x + (-0.8 + -0.4x) = 7.4

Reorder the terms:
-5 + -0.8 + 1.5x + -0.4x = 7.4

Combine like terms: -5 + -0.8 = -5.8
-5.8 + 1.5x + -0.4x = 7.4

Combine like terms: 1.5x + -0.4x = 1.1x
-5.8 + 1.1x = 7.4

Solving
-5.8 + 1.1x = 7.4

Solving for variable 'x'.

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

Add '5.8' to each side of the equation.
-5.8 + 5.8 + 1.1x = 7.4 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + 1.1x = 7.4 + 5.8
1.1x = 7.4 + 5.8

Combine like terms: 7.4 + 5.8 = 13.2
1.1x = 13.2

Divide each side by '1.1'.
x = 12

Simplifying
x = 12

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