What is the answer to 3x(5x-4)-7=x(15x-6)-2(3x+5)+3 ?

The answer to 3x(5x-4)-7=x(15x-6)-2(3x+5)+3 is True for all x

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3x(5x-4)-7=x(15x-6)-2(3x+5)+3

3 x (5 x - 4) - 7 = x (15 x - 6) - 2 (3 x + 5) + 3

True for all x

Solution steps

3 x (5 x - 4) - 7 = x (15 x - 6) - 2 (3 x + 5) + 3

Expand

3 x (5 x - 4) : 15 x^{2} - 12 x

15 x^{2} - 12 x - 7 = x (15 x - 6) - 2 (3 x + 5) + 3

Expand

x (15 x - 6) - 2 (3 x + 5) + 3 : 15 x^{2} - 12 x - 7

15 x^{2} - 12 x - 7 = 15 x^{2} - 12 x - 7

Move

7

to the right side

15 x^{2} - 12 x = 15 x^{2} - 12 x

Subtract

15 x^{2} - 12 x

from both sides

15 x^{2} - 12 x - (15 x^{2} - 12 x) = 15 x^{2} - 12 x - (15 x^{2} - 12 x)

Simplify

0 = 0

Both sides are equal

True for all x

x, f = g

x - 3 (5 x - 6) = 3 - 10 x

7 \frac{1}{4} x - x = 9 \frac{3}{8}

\frac{x}{2} - 3 = \frac{3 x}{2} - (1 - x)

2 (1 - x) + 2 = - x + \frac{1}{2} (2 - x) + \frac{x + 4}{2}

What is the answer to 3x(5x-4)-7=x(15x-6)-2(3x+5)+3 ?
The answer to 3x(5x-4)-7=x(15x-6)-2(3x+5)+3 is True for all x
Solve for x: 3x(5x-4)-7=x(15x-6)-2(3x+5)+3
The solution is True for all x