5(4x+3)=6(3x+2)-1

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Solution for 5(4x+3)=6(3x+2)-1 equation:


Simplifying
5(4x + 3) = 6(3x + 2) + -1

Reorder the terms:
5(3 + 4x) = 6(3x + 2) + -1
(3 * 5 + 4x * 5) = 6(3x + 2) + -1
(15 + 20x) = 6(3x + 2) + -1

Reorder the terms:
15 + 20x = 6(2 + 3x) + -1
15 + 20x = (2 * 6 + 3x * 6) + -1
15 + 20x = (12 + 18x) + -1

Reorder the terms:
15 + 20x = 12 + -1 + 18x

Combine like terms: 12 + -1 = 11
15 + 20x = 11 + 18x

Solving
15 + 20x = 11 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
15 + 20x + -18x = 11 + 18x + -18x

Combine like terms: 20x + -18x = 2x
15 + 2x = 11 + 18x + -18x

Combine like terms: 18x + -18x = 0
15 + 2x = 11 + 0
15 + 2x = 11

Add '-15' to each side of the equation.
15 + -15 + 2x = 11 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 11 + -15
2x = 11 + -15

Combine like terms: 11 + -15 = -4
2x = -4

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

Simplifying
x = -2

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