4(2x+1)+15=3(x+3)

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Solution for 4(2x+1)+15=3(x+3) equation:


Simplifying
4(2x + 1) + 15 = 3(x + 3)

Reorder the terms:
4(1 + 2x) + 15 = 3(x + 3)
(1 * 4 + 2x * 4) + 15 = 3(x + 3)
(4 + 8x) + 15 = 3(x + 3)

Reorder the terms:
4 + 15 + 8x = 3(x + 3)

Combine like terms: 4 + 15 = 19
19 + 8x = 3(x + 3)

Reorder the terms:
19 + 8x = 3(3 + x)
19 + 8x = (3 * 3 + x * 3)
19 + 8x = (9 + 3x)

Solving
19 + 8x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
19 + 8x + -3x = 9 + 3x + -3x

Combine like terms: 8x + -3x = 5x
19 + 5x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + 5x = 9 + 0
19 + 5x = 9

Add '-19' to each side of the equation.
19 + -19 + 5x = 9 + -19

Combine like terms: 19 + -19 = 0
0 + 5x = 9 + -19
5x = 9 + -19

Combine like terms: 9 + -19 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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