3(x+5)+3=10x+3(x+3)

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Solution for 3(x+5)+3=10x+3(x+3) equation:


Simplifying
3(x + 5) + 3 = 10x + 3(x + 3)

Reorder the terms:
3(5 + x) + 3 = 10x + 3(x + 3)
(5 * 3 + x * 3) + 3 = 10x + 3(x + 3)
(15 + 3x) + 3 = 10x + 3(x + 3)

Reorder the terms:
15 + 3 + 3x = 10x + 3(x + 3)

Combine like terms: 15 + 3 = 18
18 + 3x = 10x + 3(x + 3)

Reorder the terms:
18 + 3x = 10x + 3(3 + x)
18 + 3x = 10x + (3 * 3 + x * 3)
18 + 3x = 10x + (9 + 3x)

Reorder the terms:
18 + 3x = 9 + 10x + 3x

Combine like terms: 10x + 3x = 13x
18 + 3x = 9 + 13x

Solving
18 + 3x = 9 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
18 + 3x + -13x = 9 + 13x + -13x

Combine like terms: 3x + -13x = -10x
18 + -10x = 9 + 13x + -13x

Combine like terms: 13x + -13x = 0
18 + -10x = 9 + 0
18 + -10x = 9

Add '-18' to each side of the equation.
18 + -18 + -10x = 9 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = 9 + -18
-10x = 9 + -18

Combine like terms: 9 + -18 = -9
-10x = -9

Divide each side by '-10'.
x = 0.9

Simplifying
x = 0.9

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