8x-7=2(3.14x+7)-5

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Solution for 8x-7=2(3.14x+7)-5 equation:


Simplifying
8x + -7 = 2(3.14x + 7) + -5

Reorder the terms:
-7 + 8x = 2(3.14x + 7) + -5

Reorder the terms:
-7 + 8x = 2(7 + 3.14x) + -5
-7 + 8x = (7 * 2 + 3.14x * 2) + -5
-7 + 8x = (14 + 6.28x) + -5

Reorder the terms:
-7 + 8x = 14 + -5 + 6.28x

Combine like terms: 14 + -5 = 9
-7 + 8x = 9 + 6.28x

Solving
-7 + 8x = 9 + 6.28x

Solving for variable 'x'.

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

Add '-6.28x' to each side of the equation.
-7 + 8x + -6.28x = 9 + 6.28x + -6.28x

Combine like terms: 8x + -6.28x = 1.72x
-7 + 1.72x = 9 + 6.28x + -6.28x

Combine like terms: 6.28x + -6.28x = 0.00
-7 + 1.72x = 9 + 0.00
-7 + 1.72x = 9

Add '7' to each side of the equation.
-7 + 7 + 1.72x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 1.72x = 9 + 7
1.72x = 9 + 7

Combine like terms: 9 + 7 = 16
1.72x = 16

Divide each side by '1.72'.
x = 9.302325581

Simplifying
x = 9.302325581

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