4(2-x)*3.5=2(x+3)-8.3

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Solution for 4(2-x)*3.5=2(x+3)-8.3 equation:


Simplifying
4(2 + -1x) * 3.5 = 2(x + 3) + -8.3

Reorder the terms for easier multiplication:
4 * 3.5(2 + -1x) = 2(x + 3) + -8.3

Multiply 4 * 3.5
14(2 + -1x) = 2(x + 3) + -8.3
(2 * 14 + -1x * 14) = 2(x + 3) + -8.3
(28 + -14x) = 2(x + 3) + -8.3

Reorder the terms:
28 + -14x = 2(3 + x) + -8.3
28 + -14x = (3 * 2 + x * 2) + -8.3
28 + -14x = (6 + 2x) + -8.3

Reorder the terms:
28 + -14x = 6 + -8.3 + 2x

Combine like terms: 6 + -8.3 = -2.3
28 + -14x = -2.3 + 2x

Solving
28 + -14x = -2.3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
28 + -14x + -2x = -2.3 + 2x + -2x

Combine like terms: -14x + -2x = -16x
28 + -16x = -2.3 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + -16x = -2.3 + 0
28 + -16x = -2.3

Add '-28' to each side of the equation.
28 + -28 + -16x = -2.3 + -28

Combine like terms: 28 + -28 = 0
0 + -16x = -2.3 + -28
-16x = -2.3 + -28

Combine like terms: -2.3 + -28 = -30.3
-16x = -30.3

Divide each side by '-16'.
x = 1.89375

Simplifying
x = 1.89375

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