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

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


Simplifying
4 + 5(x + -4) = 4 + -7(x + -4)

Reorder the terms:
4 + 5(-4 + x) = 4 + -7(x + -4)
4 + (-4 * 5 + x * 5) = 4 + -7(x + -4)
4 + (-20 + 5x) = 4 + -7(x + -4)

Combine like terms: 4 + -20 = -16
-16 + 5x = 4 + -7(x + -4)

Reorder the terms:
-16 + 5x = 4 + -7(-4 + x)
-16 + 5x = 4 + (-4 * -7 + x * -7)
-16 + 5x = 4 + (28 + -7x)

Combine like terms: 4 + 28 = 32
-16 + 5x = 32 + -7x

Solving
-16 + 5x = 32 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-16 + 5x + 7x = 32 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-16 + 12x = 32 + -7x + 7x

Combine like terms: -7x + 7x = 0
-16 + 12x = 32 + 0
-16 + 12x = 32

Add '16' to each side of the equation.
-16 + 16 + 12x = 32 + 16

Combine like terms: -16 + 16 = 0
0 + 12x = 32 + 16
12x = 32 + 16

Combine like terms: 32 + 16 = 48
12x = 48

Divide each side by '12'.
x = 4

Simplifying
x = 4

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