25-2(4x+2)=7x-6(4x-2)

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Solution for 25-2(4x+2)=7x-6(4x-2) equation:


Simplifying
25 + -2(4x + 2) = 7x + -6(4x + -2)

Reorder the terms:
25 + -2(2 + 4x) = 7x + -6(4x + -2)
25 + (2 * -2 + 4x * -2) = 7x + -6(4x + -2)
25 + (-4 + -8x) = 7x + -6(4x + -2)

Combine like terms: 25 + -4 = 21
21 + -8x = 7x + -6(4x + -2)

Reorder the terms:
21 + -8x = 7x + -6(-2 + 4x)
21 + -8x = 7x + (-2 * -6 + 4x * -6)
21 + -8x = 7x + (12 + -24x)

Reorder the terms:
21 + -8x = 12 + 7x + -24x

Combine like terms: 7x + -24x = -17x
21 + -8x = 12 + -17x

Solving
21 + -8x = 12 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
21 + -8x + 17x = 12 + -17x + 17x

Combine like terms: -8x + 17x = 9x
21 + 9x = 12 + -17x + 17x

Combine like terms: -17x + 17x = 0
21 + 9x = 12 + 0
21 + 9x = 12

Add '-21' to each side of the equation.
21 + -21 + 9x = 12 + -21

Combine like terms: 21 + -21 = 0
0 + 9x = 12 + -21
9x = 12 + -21

Combine like terms: 12 + -21 = -9
9x = -9

Divide each side by '9'.
x = -1

Simplifying
x = -1

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