7(2x+3)-3(5x-2)-5(3x-4)=0

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Solution for 7(2x+3)-3(5x-2)-5(3x-4)=0 equation:


Simplifying
7(2x + 3) + -3(5x + -2) + -5(3x + -4) = 0

Reorder the terms:
7(3 + 2x) + -3(5x + -2) + -5(3x + -4) = 0
(3 * 7 + 2x * 7) + -3(5x + -2) + -5(3x + -4) = 0
(21 + 14x) + -3(5x + -2) + -5(3x + -4) = 0

Reorder the terms:
21 + 14x + -3(-2 + 5x) + -5(3x + -4) = 0
21 + 14x + (-2 * -3 + 5x * -3) + -5(3x + -4) = 0
21 + 14x + (6 + -15x) + -5(3x + -4) = 0

Reorder the terms:
21 + 14x + 6 + -15x + -5(-4 + 3x) = 0
21 + 14x + 6 + -15x + (-4 * -5 + 3x * -5) = 0
21 + 14x + 6 + -15x + (20 + -15x) = 0

Reorder the terms:
21 + 6 + 20 + 14x + -15x + -15x = 0

Combine like terms: 21 + 6 = 27
27 + 20 + 14x + -15x + -15x = 0

Combine like terms: 27 + 20 = 47
47 + 14x + -15x + -15x = 0

Combine like terms: 14x + -15x = -1x
47 + -1x + -15x = 0

Combine like terms: -1x + -15x = -16x
47 + -16x = 0

Solving
47 + -16x = 0

Solving for variable 'x'.

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

Add '-47' to each side of the equation.
47 + -47 + -16x = 0 + -47

Combine like terms: 47 + -47 = 0
0 + -16x = 0 + -47
-16x = 0 + -47

Combine like terms: 0 + -47 = -47
-16x = -47

Divide each side by '-16'.
x = 2.9375

Simplifying
x = 2.9375

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