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

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


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

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

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

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

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

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

Combine like terms: -4x + -4x = -8x
7 + -8x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -8x = -21 + 0
7 + -8x = -21

Add '-7' to each side of the equation.
7 + -7 + -8x = -21 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -21 + -7
-8x = -21 + -7

Combine like terms: -21 + -7 = -28
-8x = -28

Divide each side by '-8'.
x = 3.5

Simplifying
x = 3.5

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