3(x+3)+5=5(3x+8)+7x

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Solution for 3(x+3)+5=5(3x+8)+7x equation:


Simplifying
3(x + 3) + 5 = 5(3x + 8) + 7x

Reorder the terms:
3(3 + x) + 5 = 5(3x + 8) + 7x
(3 * 3 + x * 3) + 5 = 5(3x + 8) + 7x
(9 + 3x) + 5 = 5(3x + 8) + 7x

Reorder the terms:
9 + 5 + 3x = 5(3x + 8) + 7x

Combine like terms: 9 + 5 = 14
14 + 3x = 5(3x + 8) + 7x

Reorder the terms:
14 + 3x = 5(8 + 3x) + 7x
14 + 3x = (8 * 5 + 3x * 5) + 7x
14 + 3x = (40 + 15x) + 7x

Combine like terms: 15x + 7x = 22x
14 + 3x = 40 + 22x

Solving
14 + 3x = 40 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
14 + 3x + -22x = 40 + 22x + -22x

Combine like terms: 3x + -22x = -19x
14 + -19x = 40 + 22x + -22x

Combine like terms: 22x + -22x = 0
14 + -19x = 40 + 0
14 + -19x = 40

Add '-14' to each side of the equation.
14 + -14 + -19x = 40 + -14

Combine like terms: 14 + -14 = 0
0 + -19x = 40 + -14
-19x = 40 + -14

Combine like terms: 40 + -14 = 26
-19x = 26

Divide each side by '-19'.
x = -1.368421053

Simplifying
x = -1.368421053

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