5x-20=.5*12*4x-10

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Solution for 5x-20=.5*12*4x-10 equation:


Simplifying
5x + -20 = 0.5 * 12 * 4x + -10

Reorder the terms:
-20 + 5x = 0.5 * 12 * 4x + -10

Multiply 0.5 * 12
-20 + 5x = 6 * 4x + -10

Multiply 6 * 4
-20 + 5x = 24x + -10

Reorder the terms:
-20 + 5x = -10 + 24x

Solving
-20 + 5x = -10 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-20 + 5x + -24x = -10 + 24x + -24x

Combine like terms: 5x + -24x = -19x
-20 + -19x = -10 + 24x + -24x

Combine like terms: 24x + -24x = 0
-20 + -19x = -10 + 0
-20 + -19x = -10

Add '20' to each side of the equation.
-20 + 20 + -19x = -10 + 20

Combine like terms: -20 + 20 = 0
0 + -19x = -10 + 20
-19x = -10 + 20

Combine like terms: -10 + 20 = 10
-19x = 10

Divide each side by '-19'.
x = -0.5263157895

Simplifying
x = -0.5263157895

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