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

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


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

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

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

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

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

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

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

Solving for variable 'X'.

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

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

Reorder the terms:
7 + -7 + X + -4x = -21 + -7 + 4x

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

Combine like terms: -21 + -7 = -28
X + -4x = -28 + 4x

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

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

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

Simplifying
X = -28 + 8x

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