5.2x+4+3(2x+8)-7(4)=8(10)

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Solution for 5.2x+4+3(2x+8)-7(4)=8(10) equation:


Simplifying
5.2x + 4 + 3(2x + 8) + -7(4) = 8(10)

Reorder the terms:
5.2x + 4 + 3(8 + 2x) + -7(4) = 8(10)
5.2x + 4 + (8 * 3 + 2x * 3) + -7(4) = 8(10)
5.2x + 4 + (24 + 6x) + -7(4) = 8(10)

Multiply -7 * 4
5.2x + 4 + 24 + 6x + -28 = 8(10)

Reorder the terms:
4 + 24 + -28 + 5.2x + 6x = 8(10)

Combine like terms: 4 + 24 = 28
28 + -28 + 5.2x + 6x = 8(10)

Combine like terms: 28 + -28 = 0
0 + 5.2x + 6x = 8(10)
5.2x + 6x = 8(10)

Combine like terms: 5.2x + 6x = 11.2x
11.2x = 8(10)

Multiply 8 * 10
11.2x = 80

Solving
11.2x = 80

Solving for variable 'x'.

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

Divide each side by '11.2'.
x = 7.142857143

Simplifying
x = 7.142857143

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