(3x-2)-5(2x+3)=-35

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Solution for (3x-2)-5(2x+3)=-35 equation:


Simplifying
(3x + -2) + -5(2x + 3) = -35

Reorder the terms:
(-2 + 3x) + -5(2x + 3) = -35

Remove parenthesis around (-2 + 3x)
-2 + 3x + -5(2x + 3) = -35

Reorder the terms:
-2 + 3x + -5(3 + 2x) = -35
-2 + 3x + (3 * -5 + 2x * -5) = -35
-2 + 3x + (-15 + -10x) = -35

Reorder the terms:
-2 + -15 + 3x + -10x = -35

Combine like terms: -2 + -15 = -17
-17 + 3x + -10x = -35

Combine like terms: 3x + -10x = -7x
-17 + -7x = -35

Solving
-17 + -7x = -35

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 = -35 + 17

Combine like terms: -17 + 17 = 0
0 + -7x = -35 + 17
-7x = -35 + 17

Combine like terms: -35 + 17 = -18
-7x = -18

Divide each side by '-7'.
x = 2.571428571

Simplifying
x = 2.571428571

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