-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 = -6
-3x = -6

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

Simplifying
x = 2

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