(5x+1)=3(3-3x)+3

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Solution for (5x+1)=3(3-3x)+3 equation:


Simplifying
(5x + 1) = 3(3 + -3x) + 3

Reorder the terms:
(1 + 5x) = 3(3 + -3x) + 3

Remove parenthesis around (1 + 5x)
1 + 5x = 3(3 + -3x) + 3
1 + 5x = (3 * 3 + -3x * 3) + 3
1 + 5x = (9 + -9x) + 3

Reorder the terms:
1 + 5x = 9 + 3 + -9x

Combine like terms: 9 + 3 = 12
1 + 5x = 12 + -9x

Solving
1 + 5x = 12 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
1 + 5x + 9x = 12 + -9x + 9x

Combine like terms: 5x + 9x = 14x
1 + 14x = 12 + -9x + 9x

Combine like terms: -9x + 9x = 0
1 + 14x = 12 + 0
1 + 14x = 12

Add '-1' to each side of the equation.
1 + -1 + 14x = 12 + -1

Combine like terms: 1 + -1 = 0
0 + 14x = 12 + -1
14x = 12 + -1

Combine like terms: 12 + -1 = 11
14x = 11

Divide each side by '14'.
x = 0.7857142857

Simplifying
x = 0.7857142857

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