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

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


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

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

Reorder the terms:
-1 + 5x + -2x = 4(2x + 3)

Combine like terms: 5x + -2x = 3x
-1 + 3x = 4(2x + 3)

Reorder the terms:
-1 + 3x = 4(3 + 2x)
-1 + 3x = (3 * 4 + 2x * 4)
-1 + 3x = (12 + 8x)

Solving
-1 + 3x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + 3x + -8x = 12 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-1 + -5x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -5x = 12 + 0
-1 + -5x = 12

Add '1' to each side of the equation.
-1 + 1 + -5x = 12 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 12 + 1
-5x = 12 + 1

Combine like terms: 12 + 1 = 13
-5x = 13

Divide each side by '-5'.
x = -2.6

Simplifying
x = -2.6

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