30(7-2.5x)=14(2x-8)+54.2

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Solution for 30(7-2.5x)=14(2x-8)+54.2 equation:


Simplifying
30(7 + -2.5x) = 14(2x + -8) + 54.2
(7 * 30 + -2.5x * 30) = 14(2x + -8) + 54.2
(210 + -75x) = 14(2x + -8) + 54.2

Reorder the terms:
210 + -75x = 14(-8 + 2x) + 54.2
210 + -75x = (-8 * 14 + 2x * 14) + 54.2
210 + -75x = (-112 + 28x) + 54.2

Reorder the terms:
210 + -75x = -112 + 54.2 + 28x

Combine like terms: -112 + 54.2 = -57.8
210 + -75x = -57.8 + 28x

Solving
210 + -75x = -57.8 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
210 + -75x + -28x = -57.8 + 28x + -28x

Combine like terms: -75x + -28x = -103x
210 + -103x = -57.8 + 28x + -28x

Combine like terms: 28x + -28x = 0
210 + -103x = -57.8 + 0
210 + -103x = -57.8

Add '-210' to each side of the equation.
210 + -210 + -103x = -57.8 + -210

Combine like terms: 210 + -210 = 0
0 + -103x = -57.8 + -210
-103x = -57.8 + -210

Combine like terms: -57.8 + -210 = -267.8
-103x = -267.8

Divide each side by '-103'.
x = 2.6

Simplifying
x = 2.6

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