9=4(x-1)-(x-7)

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Solution for 9=4(x-1)-(x-7) equation:


Simplifying
9 = 4(x + -1) + -1(x + -7)

Reorder the terms:
9 = 4(-1 + x) + -1(x + -7)
9 = (-1 * 4 + x * 4) + -1(x + -7)
9 = (-4 + 4x) + -1(x + -7)

Reorder the terms:
9 = -4 + 4x + -1(-7 + x)
9 = -4 + 4x + (-7 * -1 + x * -1)
9 = -4 + 4x + (7 + -1x)

Reorder the terms:
9 = -4 + 7 + 4x + -1x

Combine like terms: -4 + 7 = 3
9 = 3 + 4x + -1x

Combine like terms: 4x + -1x = 3x
9 = 3 + 3x

Solving
9 = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -3x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -3x = 3 + 0
9 + -3x = 3

Add '-9' to each side of the equation.
9 + -9 + -3x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 3 + -9
-3x = 3 + -9

Combine like terms: 3 + -9 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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