x-4x-7=5x-(x+21)

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Solution for x-4x-7=5x-(x+21) equation:


Simplifying
x + -4x + -7 = 5x + -1(x + 21)

Reorder the terms:
-7 + x + -4x = 5x + -1(x + 21)

Combine like terms: x + -4x = -3x
-7 + -3x = 5x + -1(x + 21)

Reorder the terms:
-7 + -3x = 5x + -1(21 + x)
-7 + -3x = 5x + (21 * -1 + x * -1)
-7 + -3x = 5x + (-21 + -1x)

Reorder the terms:
-7 + -3x = -21 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-7 + -3x = -21 + 4x

Solving
-7 + -3x = -21 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + -3x + -4x = -21 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-7 + -7x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + -7x = -21 + 0
-7 + -7x = -21

Add '7' to each side of the equation.
-7 + 7 + -7x = -21 + 7

Combine like terms: -7 + 7 = 0
0 + -7x = -21 + 7
-7x = -21 + 7

Combine like terms: -21 + 7 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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