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

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


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

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

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

Combine like terms: -1x + 4x = 3x
-2 + 3x = 7(x + -21)

Reorder the terms:
-2 + 3x = 7(-21 + x)
-2 + 3x = (-21 * 7 + x * 7)
-2 + 3x = (-147 + 7x)

Solving
-2 + 3x = -147 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + 3x + -7x = -147 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-2 + -4x = -147 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -4x = -147 + 0
-2 + -4x = -147

Add '2' to each side of the equation.
-2 + 2 + -4x = -147 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -147 + 2
-4x = -147 + 2

Combine like terms: -147 + 2 = -145
-4x = -145

Divide each side by '-4'.
x = 36.25

Simplifying
x = 36.25

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