4x+5(x+3)=3(2x+4)

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Solution for 4x+5(x+3)=3(2x+4) equation:


Simplifying
4x + 5(x + 3) = 3(2x + 4)

Reorder the terms:
4x + 5(3 + x) = 3(2x + 4)
4x + (3 * 5 + x * 5) = 3(2x + 4)
4x + (15 + 5x) = 3(2x + 4)

Reorder the terms:
15 + 4x + 5x = 3(2x + 4)

Combine like terms: 4x + 5x = 9x
15 + 9x = 3(2x + 4)

Reorder the terms:
15 + 9x = 3(4 + 2x)
15 + 9x = (4 * 3 + 2x * 3)
15 + 9x = (12 + 6x)

Solving
15 + 9x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 9x + -6x = 12 + 6x + -6x

Combine like terms: 9x + -6x = 3x
15 + 3x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 3x = 12 + 0
15 + 3x = 12

Add '-15' to each side of the equation.
15 + -15 + 3x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 12 + -15
3x = 12 + -15

Combine like terms: 12 + -15 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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