98.3510976=2.8(3.384x+4.1)+1.4x

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Solution for 98.3510976=2.8(3.384x+4.1)+1.4x equation:


Simplifying
98.3510976 = 2.8(3.384x + 4.1) + 1.4x

Reorder the terms:
98.3510976 = 2.8(4.1 + 3.384x) + 1.4x
98.3510976 = (4.1 * 2.8 + 3.384x * 2.8) + 1.4x
98.3510976 = (11.48 + 9.4752x) + 1.4x

Combine like terms: 9.4752x + 1.4x = 10.8752x
98.3510976 = 11.48 + 10.8752x

Solving
98.3510976 = 11.48 + 10.8752x

Solving for variable 'x'.

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

Add '-10.8752x' to each side of the equation.
98.3510976 + -10.8752x = 11.48 + 10.8752x + -10.8752x

Combine like terms: 10.8752x + -10.8752x = 0.0000
98.3510976 + -10.8752x = 11.48 + 0.0000
98.3510976 + -10.8752x = 11.48

Add '-98.3510976' to each side of the equation.
98.3510976 + -98.3510976 + -10.8752x = 11.48 + -98.3510976

Combine like terms: 98.3510976 + -98.3510976 = 0.0000000
0.0000000 + -10.8752x = 11.48 + -98.3510976
-10.8752x = 11.48 + -98.3510976

Combine like terms: 11.48 + -98.3510976 = -86.8710976
-10.8752x = -86.8710976

Divide each side by '-10.8752'.
x = 7.988

Simplifying
x = 7.988

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