12.8=5.3+1.54(x-5.3)

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Solution for 12.8=5.3+1.54(x-5.3) equation:


Simplifying
12.8 = 5.3 + 1.54(x + -5.3)

Reorder the terms:
12.8 = 5.3 + 1.54(-5.3 + x)
12.8 = 5.3 + (-5.3 * 1.54 + x * 1.54)
12.8 = 5.3 + (-8.162 + 1.54x)

Combine like terms: 5.3 + -8.162 = -2.862
12.8 = -2.862 + 1.54x

Solving
12.8 = -2.862 + 1.54x

Solving for variable 'x'.

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

Add '-1.54x' to each side of the equation.
12.8 + -1.54x = -2.862 + 1.54x + -1.54x

Combine like terms: 1.54x + -1.54x = 0.00
12.8 + -1.54x = -2.862 + 0.00
12.8 + -1.54x = -2.862

Add '-12.8' to each side of the equation.
12.8 + -12.8 + -1.54x = -2.862 + -12.8

Combine like terms: 12.8 + -12.8 = 0.0
0.0 + -1.54x = -2.862 + -12.8
-1.54x = -2.862 + -12.8

Combine like terms: -2.862 + -12.8 = -15.662
-1.54x = -15.662

Divide each side by '-1.54'.
x = 10.17012987

Simplifying
x = 10.17012987

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