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

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


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

Reorder the terms:
5(3 + 2x) + -4 = 3x + 2(x + 3)
(3 * 5 + 2x * 5) + -4 = 3x + 2(x + 3)
(15 + 10x) + -4 = 3x + 2(x + 3)

Reorder the terms:
15 + -4 + 10x = 3x + 2(x + 3)

Combine like terms: 15 + -4 = 11
11 + 10x = 3x + 2(x + 3)

Reorder the terms:
11 + 10x = 3x + 2(3 + x)
11 + 10x = 3x + (3 * 2 + x * 2)
11 + 10x = 3x + (6 + 2x)

Reorder the terms:
11 + 10x = 6 + 3x + 2x

Combine like terms: 3x + 2x = 5x
11 + 10x = 6 + 5x

Solving
11 + 10x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + 10x + -5x = 6 + 5x + -5x

Combine like terms: 10x + -5x = 5x
11 + 5x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + 5x = 6 + 0
11 + 5x = 6

Add '-11' to each side of the equation.
11 + -11 + 5x = 6 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 6 + -11
5x = 6 + -11

Combine like terms: 6 + -11 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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