3=4(x-4)-(x-7)

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Solution for 3=4(x-4)-(x-7) equation:


Simplifying
3 = 4(x + -4) + -1(x + -7)

Reorder the terms:
3 = 4(-4 + x) + -1(x + -7)
3 = (-4 * 4 + x * 4) + -1(x + -7)
3 = (-16 + 4x) + -1(x + -7)

Reorder the terms:
3 = -16 + 4x + -1(-7 + x)
3 = -16 + 4x + (-7 * -1 + x * -1)
3 = -16 + 4x + (7 + -1x)

Reorder the terms:
3 = -16 + 7 + 4x + -1x

Combine like terms: -16 + 7 = -9
3 = -9 + 4x + -1x

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

Solving
3 = -9 + 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.
3 + -3x = -9 + 3x + -3x

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

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

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

Combine like terms: -9 + -3 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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