8(x-0.46)+28(x+0.89)=266

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Solution for 8(x-0.46)+28(x+0.89)=266 equation: 


Simplifying
8(x + -0.46) + 28(x + 0.89) = 266

Reorder the terms:
8(-0.46 + x) + 28(x + 0.89) = 266
(-0.46 * 8 + x * 8) + 28(x + 0.89) = 266
(-3.68 + 8x) + 28(x + 0.89) = 266

Reorder the terms:
-3.68 + 8x + 28(0.89 + x) = 266
-3.68 + 8x + (0.89 * 28 + x * 28) = 266
-3.68 + 8x + (24.92 + 28x) = 266

Reorder the terms:
-3.68 + 24.92 + 8x + 28x = 266

Combine like terms: -3.68 + 24.92 = 21.24
21.24 + 8x + 28x = 266

Combine like terms: 8x + 28x = 36x
21.24 + 36x = 266

Solving
21.24 + 36x = 266

Solving for variable 'x'.

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

Add '-21.24' to each side of the equation.
21.24 + -21.24 + 36x = 266 + -21.24

Combine like terms: 21.24 + -21.24 = 0.00
0.00 + 36x = 266 + -21.24
36x = 266 + -21.24

Combine like terms: 266 + -21.24 = 244.76
36x = 244.76

Divide each side by '36'.
x = 6.798888889

Simplifying
x = 6.798888889

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