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

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


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

Reorder the terms:
5(-6 + 4x) + -2(2x + 1) = 3(-3x + -2)
(-6 * 5 + 4x * 5) + -2(2x + 1) = 3(-3x + -2)
(-30 + 20x) + -2(2x + 1) = 3(-3x + -2)

Reorder the terms:
-30 + 20x + -2(1 + 2x) = 3(-3x + -2)
-30 + 20x + (1 * -2 + 2x * -2) = 3(-3x + -2)
-30 + 20x + (-2 + -4x) = 3(-3x + -2)

Reorder the terms:
-30 + -2 + 20x + -4x = 3(-3x + -2)

Combine like terms: -30 + -2 = -32
-32 + 20x + -4x = 3(-3x + -2)

Combine like terms: 20x + -4x = 16x
-32 + 16x = 3(-3x + -2)

Reorder the terms:
-32 + 16x = 3(-2 + -3x)
-32 + 16x = (-2 * 3 + -3x * 3)
-32 + 16x = (-6 + -9x)

Solving
-32 + 16x = -6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-32 + 16x + 9x = -6 + -9x + 9x

Combine like terms: 16x + 9x = 25x
-32 + 25x = -6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-32 + 25x = -6 + 0
-32 + 25x = -6

Add '32' to each side of the equation.
-32 + 32 + 25x = -6 + 32

Combine like terms: -32 + 32 = 0
0 + 25x = -6 + 32
25x = -6 + 32

Combine like terms: -6 + 32 = 26
25x = 26

Divide each side by '25'.
x = 1.04

Simplifying
x = 1.04

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