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

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


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

Reorder the terms:
4(-3 + 2x) + -5(3x + 1) = -2
(-3 * 4 + 2x * 4) + -5(3x + 1) = -2
(-12 + 8x) + -5(3x + 1) = -2

Reorder the terms:
-12 + 8x + -5(1 + 3x) = -2
-12 + 8x + (1 * -5 + 3x * -5) = -2
-12 + 8x + (-5 + -15x) = -2

Reorder the terms:
-12 + -5 + 8x + -15x = -2

Combine like terms: -12 + -5 = -17
-17 + 8x + -15x = -2

Combine like terms: 8x + -15x = -7x
-17 + -7x = -2

Solving
-17 + -7x = -2

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + -7x = -2 + 17

Combine like terms: -17 + 17 = 0
0 + -7x = -2 + 17
-7x = -2 + 17

Combine like terms: -2 + 17 = 15
-7x = 15

Divide each side by '-7'.
x = -2.142857143

Simplifying
x = -2.142857143

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