2.789-1.5(2.4x-5.4296)=6.32x+5

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Solution for 2.789-1.5(2.4x-5.4296)=6.32x+5 equation:


Simplifying
2.789 + -1.5(2.4x + -5.4296) = 6.32x + 5

Reorder the terms:
2.789 + -1.5(-5.4296 + 2.4x) = 6.32x + 5
2.789 + (-5.4296 * -1.5 + 2.4x * -1.5) = 6.32x + 5
2.789 + (8.1444 + -3.6x) = 6.32x + 5

Combine like terms: 2.789 + 8.1444 = 10.9334
10.9334 + -3.6x = 6.32x + 5

Reorder the terms:
10.9334 + -3.6x = 5 + 6.32x

Solving
10.9334 + -3.6x = 5 + 6.32x

Solving for variable 'x'.

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

Add '-6.32x' to each side of the equation.
10.9334 + -3.6x + -6.32x = 5 + 6.32x + -6.32x

Combine like terms: -3.6x + -6.32x = -9.92x
10.9334 + -9.92x = 5 + 6.32x + -6.32x

Combine like terms: 6.32x + -6.32x = 0.00
10.9334 + -9.92x = 5 + 0.00
10.9334 + -9.92x = 5

Add '-10.9334' to each side of the equation.
10.9334 + -10.9334 + -9.92x = 5 + -10.9334

Combine like terms: 10.9334 + -10.9334 = 0.0000
0.0000 + -9.92x = 5 + -10.9334
-9.92x = 5 + -10.9334

Combine like terms: 5 + -10.9334 = -5.9334
-9.92x = -5.9334

Divide each side by '-9.92'.
x = 0.598125

Simplifying
x = 0.598125

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