Question

Solve : 4 (5x - 1) + 3 (1 - 7x) = x Find x

Answer 1

Step-by-step explanation:

Simplifying 4(5x + -1) + 3(1 + -7x) = x

Reorder the terms: 4(-1 + 5x) + 3(1 + -7x) = x

(-1 * 4 + 5x * 4) + 3(1 + -7x) = x

(-4 + 20x) + 3(1 + -7x) = x

-4 + 20x + (1 * 3 + -7x * 3) = x

-4 + 20x + (3 + -21x) = x

Reorder the terms: -4 + 3 + 20x + -21x = x

Combine like terms: -4 + 3 = -1 -1 + 20x + -21x = x

Combine like terms: 20x + -21x = -1x -1 + -1x = x

Solving -1 + -1x = x

Solving for variable 'x'.

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

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

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

Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1

Divide each side by '-2'. x = -0.5

Simplifying x = -0.5

Answer: 0.5

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