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

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


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

Reorder the terms:
25 + -2(2 + 4x) = 7x + -2(5x + -1)
25 + (2 * -2 + 4x * -2) = 7x + -2(5x + -1)
25 + (-4 + -8x) = 7x + -2(5x + -1)

Combine like terms: 25 + -4 = 21
21 + -8x = 7x + -2(5x + -1)

Reorder the terms:
21 + -8x = 7x + -2(-1 + 5x)
21 + -8x = 7x + (-1 * -2 + 5x * -2)
21 + -8x = 7x + (2 + -10x)

Reorder the terms:
21 + -8x = 2 + 7x + -10x

Combine like terms: 7x + -10x = -3x
21 + -8x = 2 + -3x

Solving
21 + -8x = 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.
21 + -8x + 3x = 2 + -3x + 3x

Combine like terms: -8x + 3x = -5x
21 + -5x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
21 + -5x = 2 + 0
21 + -5x = 2

Add '-21' to each side of the equation.
21 + -21 + -5x = 2 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 2 + -21
-5x = 2 + -21

Combine like terms: 2 + -21 = -19
-5x = -19

Divide each side by '-5'.
x = 3.8

Simplifying
x = 3.8

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