0.42(x+3)-0.81(2x-5)+0.76=26.47

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Solution for 0.42(x+3)-0.81(2x-5)+0.76=26.47 equation:


Simplifying
0.42(x + 3) + -0.81(2x + -5) + 0.76 = 26.47

Reorder the terms:
0.42(3 + x) + -0.81(2x + -5) + 0.76 = 26.47
(3 * 0.42 + x * 0.42) + -0.81(2x + -5) + 0.76 = 26.47
(1.26 + 0.42x) + -0.81(2x + -5) + 0.76 = 26.47

Reorder the terms:
1.26 + 0.42x + -0.81(-5 + 2x) + 0.76 = 26.47
1.26 + 0.42x + (-5 * -0.81 + 2x * -0.81) + 0.76 = 26.47
1.26 + 0.42x + (4.05 + -1.62x) + 0.76 = 26.47

Reorder the terms:
1.26 + 4.05 + 0.76 + 0.42x + -1.62x = 26.47

Combine like terms: 1.26 + 4.05 = 5.31
5.31 + 0.76 + 0.42x + -1.62x = 26.47

Combine like terms: 5.31 + 0.76 = 6.07
6.07 + 0.42x + -1.62x = 26.47

Combine like terms: 0.42x + -1.62x = -1.2x
6.07 + -1.2x = 26.47

Solving
6.07 + -1.2x = 26.47

Solving for variable 'x'.

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

Add '-6.07' to each side of the equation.
6.07 + -6.07 + -1.2x = 26.47 + -6.07

Combine like terms: 6.07 + -6.07 = 0.00
0.00 + -1.2x = 26.47 + -6.07
-1.2x = 26.47 + -6.07

Combine like terms: 26.47 + -6.07 = 20.4
-1.2x = 20.4

Divide each side by '-1.2'.
x = -17

Simplifying
x = -17

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