5(6x-5)+5(7-4x)-3(3x+2)=-2

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Solution for 5(6x-5)+5(7-4x)-3(3x+2)=-2 equation:


Simplifying
5(6x + -5) + 5(7 + -4x) + -3(3x + 2) = -2

Reorder the terms:
5(-5 + 6x) + 5(7 + -4x) + -3(3x + 2) = -2
(-5 * 5 + 6x * 5) + 5(7 + -4x) + -3(3x + 2) = -2
(-25 + 30x) + 5(7 + -4x) + -3(3x + 2) = -2
-25 + 30x + (7 * 5 + -4x * 5) + -3(3x + 2) = -2
-25 + 30x + (35 + -20x) + -3(3x + 2) = -2

Reorder the terms:
-25 + 30x + 35 + -20x + -3(2 + 3x) = -2
-25 + 30x + 35 + -20x + (2 * -3 + 3x * -3) = -2
-25 + 30x + 35 + -20x + (-6 + -9x) = -2

Reorder the terms:
-25 + 35 + -6 + 30x + -20x + -9x = -2

Combine like terms: -25 + 35 = 10
10 + -6 + 30x + -20x + -9x = -2

Combine like terms: 10 + -6 = 4
4 + 30x + -20x + -9x = -2

Combine like terms: 30x + -20x = 10x
4 + 10x + -9x = -2

Combine like terms: 10x + -9x = 1x
4 + 1x = -2

Solving
4 + 1x = -2

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 1x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -2 + -4
1x = -2 + -4

Combine like terms: -2 + -4 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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