3(2x-5)-2(x+4)=-3(x+9)

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Solution for 3(2x-5)-2(x+4)=-3(x+9) equation:


Simplifying
3(2x + -5) + -2(x + 4) = -3(x + 9)

Reorder the terms:
3(-5 + 2x) + -2(x + 4) = -3(x + 9)
(-5 * 3 + 2x * 3) + -2(x + 4) = -3(x + 9)
(-15 + 6x) + -2(x + 4) = -3(x + 9)

Reorder the terms:
-15 + 6x + -2(4 + x) = -3(x + 9)
-15 + 6x + (4 * -2 + x * -2) = -3(x + 9)
-15 + 6x + (-8 + -2x) = -3(x + 9)

Reorder the terms:
-15 + -8 + 6x + -2x = -3(x + 9)

Combine like terms: -15 + -8 = -23
-23 + 6x + -2x = -3(x + 9)

Combine like terms: 6x + -2x = 4x
-23 + 4x = -3(x + 9)

Reorder the terms:
-23 + 4x = -3(9 + x)
-23 + 4x = (9 * -3 + x * -3)
-23 + 4x = (-27 + -3x)

Solving
-23 + 4x = -27 + -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.
-23 + 4x + 3x = -27 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-23 + 7x = -27 + -3x + 3x

Combine like terms: -3x + 3x = 0
-23 + 7x = -27 + 0
-23 + 7x = -27

Add '23' to each side of the equation.
-23 + 23 + 7x = -27 + 23

Combine like terms: -23 + 23 = 0
0 + 7x = -27 + 23
7x = -27 + 23

Combine like terms: -27 + 23 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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