25-(2x-3)=7x-(x-4)

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


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

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

Combine like terms: 25 + 3 = 28
28 + -2x = 7x + -1(x + -4)

Reorder the terms:
28 + -2x = 7x + -1(-4 + x)
28 + -2x = 7x + (-4 * -1 + x * -1)
28 + -2x = 7x + (4 + -1x)

Reorder the terms:
28 + -2x = 4 + 7x + -1x

Combine like terms: 7x + -1x = 6x
28 + -2x = 4 + 6x

Solving
28 + -2x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
28 + -2x + -6x = 4 + 6x + -6x

Combine like terms: -2x + -6x = -8x
28 + -8x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
28 + -8x = 4 + 0
28 + -8x = 4

Add '-28' to each side of the equation.
28 + -28 + -8x = 4 + -28

Combine like terms: 28 + -28 = 0
0 + -8x = 4 + -28
-8x = 4 + -28

Combine like terms: 4 + -28 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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