7x+6(x+3)=15x+x+3

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Solution for 7x+6(x+3)=15x+x+3 equation:


Simplifying
7x + 6(x + 3) = 15x + x + 3

Reorder the terms:
7x + 6(3 + x) = 15x + x + 3
7x + (3 * 6 + x * 6) = 15x + x + 3
7x + (18 + 6x) = 15x + x + 3

Reorder the terms:
18 + 7x + 6x = 15x + x + 3

Combine like terms: 7x + 6x = 13x
18 + 13x = 15x + x + 3

Reorder the terms:
18 + 13x = 3 + 15x + x

Combine like terms: 15x + x = 16x
18 + 13x = 3 + 16x

Solving
18 + 13x = 3 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
18 + 13x + -16x = 3 + 16x + -16x

Combine like terms: 13x + -16x = -3x
18 + -3x = 3 + 16x + -16x

Combine like terms: 16x + -16x = 0
18 + -3x = 3 + 0
18 + -3x = 3

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

Combine like terms: 18 + -18 = 0
0 + -3x = 3 + -18
-3x = 3 + -18

Combine like terms: 3 + -18 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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