2.46+3x=-8+8(x+4.77)

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Solution for 2.46+3x=-8+8(x+4.77) equation:


Simplifying
2.46 + 3x = -8 + 8(x + 4.77)

Reorder the terms:
2.46 + 3x = -8 + 8(4.77 + x)
2.46 + 3x = -8 + (4.77 * 8 + x * 8)
2.46 + 3x = -8 + (38.16 + 8x)

Combine like terms: -8 + 38.16 = 30.16
2.46 + 3x = 30.16 + 8x

Solving
2.46 + 3x = 30.16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2.46 + 3x + -8x = 30.16 + 8x + -8x

Combine like terms: 3x + -8x = -5x
2.46 + -5x = 30.16 + 8x + -8x

Combine like terms: 8x + -8x = 0
2.46 + -5x = 30.16 + 0
2.46 + -5x = 30.16

Add '-2.46' to each side of the equation.
2.46 + -2.46 + -5x = 30.16 + -2.46

Combine like terms: 2.46 + -2.46 = 0.00
0.00 + -5x = 30.16 + -2.46
-5x = 30.16 + -2.46

Combine like terms: 30.16 + -2.46 = 27.7
-5x = 27.7

Divide each side by '-5'.
x = -5.54

Simplifying
x = -5.54

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