0.5(2.1x-3)=0.6(3.1x+8)

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Solution for 0.5(2.1x-3)=0.6(3.1x+8) equation:


Simplifying
0.5(2.1x + -3) = 0.6(3.1x + 8)

Reorder the terms:
0.5(-3 + 2.1x) = 0.6(3.1x + 8)
(-3 * 0.5 + 2.1x * 0.5) = 0.6(3.1x + 8)
(-1.5 + 1.05x) = 0.6(3.1x + 8)

Reorder the terms:
-1.5 + 1.05x = 0.6(8 + 3.1x)
-1.5 + 1.05x = (8 * 0.6 + 3.1x * 0.6)
-1.5 + 1.05x = (4.8 + 1.86x)

Solving
-1.5 + 1.05x = 4.8 + 1.86x

Solving for variable 'x'.

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

Add '-1.86x' to each side of the equation.
-1.5 + 1.05x + -1.86x = 4.8 + 1.86x + -1.86x

Combine like terms: 1.05x + -1.86x = -0.81x
-1.5 + -0.81x = 4.8 + 1.86x + -1.86x

Combine like terms: 1.86x + -1.86x = 0.00
-1.5 + -0.81x = 4.8 + 0.00
-1.5 + -0.81x = 4.8

Add '1.5' to each side of the equation.
-1.5 + 1.5 + -0.81x = 4.8 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -0.81x = 4.8 + 1.5
-0.81x = 4.8 + 1.5

Combine like terms: 4.8 + 1.5 = 6.3
-0.81x = 6.3

Divide each side by '-0.81'.
x = -7.777777778

Simplifying
x = -7.777777778

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