29.334+7.3x=-6.3+0.5(x-4.892)

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Solution for 29.334+7.3x=-6.3+0.5(x-4.892) equation: 


Simplifying
29.334 + 7.3x = -6.3 + 0.5(x + -4.892)

Reorder the terms:
29.334 + 7.3x = -6.3 + 0.5(-4.892 + x)
29.334 + 7.3x = -6.3 + (-4.892 * 0.5 + x * 0.5)
29.334 + 7.3x = -6.3 + (-2.446 + 0.5x)

Combine like terms: -6.3 + -2.446 = -8.746
29.334 + 7.3x = -8.746 + 0.5x

Solving
29.334 + 7.3x = -8.746 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
29.334 + 7.3x + -0.5x = -8.746 + 0.5x + -0.5x

Combine like terms: 7.3x + -0.5x = 6.8x
29.334 + 6.8x = -8.746 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
29.334 + 6.8x = -8.746 + 0.0
29.334 + 6.8x = -8.746

Add '-29.334' to each side of the equation.
29.334 + -29.334 + 6.8x = -8.746 + -29.334

Combine like terms: 29.334 + -29.334 = 0.000
0.000 + 6.8x = -8.746 + -29.334
6.8x = -8.746 + -29.334

Combine like terms: -8.746 + -29.334 = -38.08
6.8x = -38.08

Divide each side by '6.8'.
x = -5.6

Simplifying
x = -5.6

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