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

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


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

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

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

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

Combine like terms: -15 + -1 = -16
-16 + 6x + -4x = 5(x + 3) + -2

Combine like terms: 6x + -4x = 2x
-16 + 2x = 5(x + 3) + -2

Reorder the terms:
-16 + 2x = 5(3 + x) + -2
-16 + 2x = (3 * 5 + x * 5) + -2
-16 + 2x = (15 + 5x) + -2

Reorder the terms:
-16 + 2x = 15 + -2 + 5x

Combine like terms: 15 + -2 = 13
-16 + 2x = 13 + 5x

Solving
-16 + 2x = 13 + 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.
-16 + 2x + -5x = 13 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-16 + -3x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -3x = 13 + 0
-16 + -3x = 13

Add '16' to each side of the equation.
-16 + 16 + -3x = 13 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = 13 + 16
-3x = 13 + 16

Combine like terms: 13 + 16 = 29
-3x = 29

Divide each side by '-3'.
x = -9.666666667

Simplifying
x = -9.666666667

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