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

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


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

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

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

Reorder the terms:
-2 + -20 + 6x + -8x = -5

Combine like terms: -2 + -20 = -22
-22 + 6x + -8x = -5

Combine like terms: 6x + -8x = -2x
-22 + -2x = -5

Solving
-22 + -2x = -5

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + -2x = -5 + 22

Combine like terms: -22 + 22 = 0
0 + -2x = -5 + 22
-2x = -5 + 22

Combine like terms: -5 + 22 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

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