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

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


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

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

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

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

Combine like terms: -15 + -1 = -16
-16 + 5x + -3x = 2(4x + 3)

Combine like terms: 5x + -3x = 2x
-16 + 2x = 2(4x + 3)

Reorder the terms:
-16 + 2x = 2(3 + 4x)
-16 + 2x = (3 * 2 + 4x * 2)
-16 + 2x = (6 + 8x)

Solving
-16 + 2x = 6 + 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.
-16 + 2x + -8x = 6 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-16 + -6x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + -6x = 6 + 0
-16 + -6x = 6

Add '16' to each side of the equation.
-16 + 16 + -6x = 6 + 16

Combine like terms: -16 + 16 = 0
0 + -6x = 6 + 16
-6x = 6 + 16

Combine like terms: 6 + 16 = 22
-6x = 22

Divide each side by '-6'.
x = -3.666666667

Simplifying
x = -3.666666667

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