25-3(4x+1)=7x-2(5x-1)

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Solution for 25-3(4x+1)=7x-2(5x-1) equation:


Simplifying
25 + -3(4x + 1) = 7x + -2(5x + -1)

Reorder the terms:
25 + -3(1 + 4x) = 7x + -2(5x + -1)
25 + (1 * -3 + 4x * -3) = 7x + -2(5x + -1)
25 + (-3 + -12x) = 7x + -2(5x + -1)

Combine like terms: 25 + -3 = 22
22 + -12x = 7x + -2(5x + -1)

Reorder the terms:
22 + -12x = 7x + -2(-1 + 5x)
22 + -12x = 7x + (-1 * -2 + 5x * -2)
22 + -12x = 7x + (2 + -10x)

Reorder the terms:
22 + -12x = 2 + 7x + -10x

Combine like terms: 7x + -10x = -3x
22 + -12x = 2 + -3x

Solving
22 + -12x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
22 + -12x + 3x = 2 + -3x + 3x

Combine like terms: -12x + 3x = -9x
22 + -9x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
22 + -9x = 2 + 0
22 + -9x = 2

Add '-22' to each side of the equation.
22 + -22 + -9x = 2 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = 2 + -22
-9x = 2 + -22

Combine like terms: 2 + -22 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222

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