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

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


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

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

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

Solving
-6 + 3x = -20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + 3x + 4x = -20 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-6 + 7x = -20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 7x = -20 + 0
-6 + 7x = -20

Add '6' to each side of the equation.
-6 + 6 + 7x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = -20 + 6
7x = -20 + 6

Combine like terms: -20 + 6 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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