0.78+0.64(x-1)+2.64=10.46

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Solution for 0.78+0.64(x-1)+2.64=10.46 equation: 


Simplifying
0.78 + 0.64(x + -1) + 2.64 = 10.46

Reorder the terms:
0.78 + 0.64(-1 + x) + 2.64 = 10.46
0.78 + (-1 * 0.64 + x * 0.64) + 2.64 = 10.46
0.78 + (-0.64 + 0.64x) + 2.64 = 10.46

Reorder the terms:
0.78 + -0.64 + 2.64 + 0.64x = 10.46

Combine like terms: 0.78 + -0.64 = 0.14
0.14 + 2.64 + 0.64x = 10.46

Combine like terms: 0.14 + 2.64 = 2.78
2.78 + 0.64x = 10.46

Solving
2.78 + 0.64x = 10.46

Solving for variable 'x'.

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

Add '-2.78' to each side of the equation.
2.78 + -2.78 + 0.64x = 10.46 + -2.78

Combine like terms: 2.78 + -2.78 = 0.00
0.00 + 0.64x = 10.46 + -2.78
0.64x = 10.46 + -2.78

Combine like terms: 10.46 + -2.78 = 7.68
0.64x = 7.68

Divide each side by '0.64'.
x = 12

Simplifying
x = 12

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