5(3x-4)+2(17-5x)-2(2x+3)=-3

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Solution for 5(3x-4)+2(17-5x)-2(2x+3)=-3 equation:


Simplifying
5(3x + -4) + 2(17 + -5x) + -2(2x + 3) = -3

Reorder the terms:
5(-4 + 3x) + 2(17 + -5x) + -2(2x + 3) = -3
(-4 * 5 + 3x * 5) + 2(17 + -5x) + -2(2x + 3) = -3
(-20 + 15x) + 2(17 + -5x) + -2(2x + 3) = -3
-20 + 15x + (17 * 2 + -5x * 2) + -2(2x + 3) = -3
-20 + 15x + (34 + -10x) + -2(2x + 3) = -3

Reorder the terms:
-20 + 15x + 34 + -10x + -2(3 + 2x) = -3
-20 + 15x + 34 + -10x + (3 * -2 + 2x * -2) = -3
-20 + 15x + 34 + -10x + (-6 + -4x) = -3

Reorder the terms:
-20 + 34 + -6 + 15x + -10x + -4x = -3

Combine like terms: -20 + 34 = 14
14 + -6 + 15x + -10x + -4x = -3

Combine like terms: 14 + -6 = 8
8 + 15x + -10x + -4x = -3

Combine like terms: 15x + -10x = 5x
8 + 5x + -4x = -3

Combine like terms: 5x + -4x = 1x
8 + 1x = -3

Solving
8 + 1x = -3

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 1x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -3 + -8
1x = -3 + -8

Combine like terms: -3 + -8 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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