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

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


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

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

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

Solving
-2 + -4x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + -4x + -3x = -15 + 3x + -3x

Combine like terms: -4x + -3x = -7x
-2 + -7x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -7x = -15 + 0
-2 + -7x = -15

Add '2' to each side of the equation.
-2 + 2 + -7x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = -15 + 2
-7x = -15 + 2

Combine like terms: -15 + 2 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857

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