16=4(x-3)-(x-7)

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Solution for 16=4(x-3)-(x-7) equation: 


Simplifying
16 = 4(x + -3) + -1(x + -7)

Reorder the terms:
16 = 4(-3 + x) + -1(x + -7)
16 = (-3 * 4 + x * 4) + -1(x + -7)
16 = (-12 + 4x) + -1(x + -7)

Reorder the terms:
16 = -12 + 4x + -1(-7 + x)
16 = -12 + 4x + (-7 * -1 + x * -1)
16 = -12 + 4x + (7 + -1x)

Reorder the terms:
16 = -12 + 7 + 4x + -1x

Combine like terms: -12 + 7 = -5
16 = -5 + 4x + -1x

Combine like terms: 4x + -1x = 3x
16 = -5 + 3x

Solving
16 = -5 + 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.
16 + -3x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -3x = -5 + 0
16 + -3x = -5

Add '-16' to each side of the equation.
16 + -16 + -3x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = -5 + -16
-3x = -5 + -16

Combine like terms: -5 + -16 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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