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

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


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

Reorder the terms:
6x + -4(5 + 2x) = 3x + -2
6x + (5 * -4 + 2x * -4) = 3x + -2
6x + (-20 + -8x) = 3x + -2

Reorder the terms:
-20 + 6x + -8x = 3x + -2

Combine like terms: 6x + -8x = -2x
-20 + -2x = 3x + -2

Reorder the terms:
-20 + -2x = -2 + 3x

Solving
-20 + -2x = -2 + 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.
-20 + -2x + -3x = -2 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-20 + -5x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + -5x = -2 + 0
-20 + -5x = -2

Add '20' to each side of the equation.
-20 + 20 + -5x = -2 + 20

Combine like terms: -20 + 20 = 0
0 + -5x = -2 + 20
-5x = -2 + 20

Combine like terms: -2 + 20 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6

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