5(3x+3)+5(3x+6)+3=33x+52

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Solution for 5(3x+3)+5(3x+6)+3=33x+52 equation:


Simplifying
5(3x + 3) + 5(3x + 6) + 3 = 33x + 52

Reorder the terms:
5(3 + 3x) + 5(3x + 6) + 3 = 33x + 52
(3 * 5 + 3x * 5) + 5(3x + 6) + 3 = 33x + 52
(15 + 15x) + 5(3x + 6) + 3 = 33x + 52

Reorder the terms:
15 + 15x + 5(6 + 3x) + 3 = 33x + 52
15 + 15x + (6 * 5 + 3x * 5) + 3 = 33x + 52
15 + 15x + (30 + 15x) + 3 = 33x + 52

Reorder the terms:
15 + 30 + 3 + 15x + 15x = 33x + 52

Combine like terms: 15 + 30 = 45
45 + 3 + 15x + 15x = 33x + 52

Combine like terms: 45 + 3 = 48
48 + 15x + 15x = 33x + 52

Combine like terms: 15x + 15x = 30x
48 + 30x = 33x + 52

Reorder the terms:
48 + 30x = 52 + 33x

Solving
48 + 30x = 52 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
48 + 30x + -33x = 52 + 33x + -33x

Combine like terms: 30x + -33x = -3x
48 + -3x = 52 + 33x + -33x

Combine like terms: 33x + -33x = 0
48 + -3x = 52 + 0
48 + -3x = 52

Add '-48' to each side of the equation.
48 + -48 + -3x = 52 + -48

Combine like terms: 48 + -48 = 0
0 + -3x = 52 + -48
-3x = 52 + -48

Combine like terms: 52 + -48 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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