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

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


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

Reorder the terms:
5(-5 + 3x) + 3(9 + -2x) + -4(2x + 3) = -2
(-5 * 5 + 3x * 5) + 3(9 + -2x) + -4(2x + 3) = -2
(-25 + 15x) + 3(9 + -2x) + -4(2x + 3) = -2
-25 + 15x + (9 * 3 + -2x * 3) + -4(2x + 3) = -2
-25 + 15x + (27 + -6x) + -4(2x + 3) = -2

Reorder the terms:
-25 + 15x + 27 + -6x + -4(3 + 2x) = -2
-25 + 15x + 27 + -6x + (3 * -4 + 2x * -4) = -2
-25 + 15x + 27 + -6x + (-12 + -8x) = -2

Reorder the terms:
-25 + 27 + -12 + 15x + -6x + -8x = -2

Combine like terms: -25 + 27 = 2
2 + -12 + 15x + -6x + -8x = -2

Combine like terms: 2 + -12 = -10
-10 + 15x + -6x + -8x = -2

Combine like terms: 15x + -6x = 9x
-10 + 9x + -8x = -2

Combine like terms: 9x + -8x = 1x
-10 + 1x = -2

Solving
-10 + 1x = -2

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 1x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -2 + 10
1x = -2 + 10

Combine like terms: -2 + 10 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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