4+7(x-1)=4-9(x-5)

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Solution for 4+7(x-1)=4-9(x-5) equation:


Simplifying
4 + 7(x + -1) = 4 + -9(x + -5)

Reorder the terms:
4 + 7(-1 + x) = 4 + -9(x + -5)
4 + (-1 * 7 + x * 7) = 4 + -9(x + -5)
4 + (-7 + 7x) = 4 + -9(x + -5)

Combine like terms: 4 + -7 = -3
-3 + 7x = 4 + -9(x + -5)

Reorder the terms:
-3 + 7x = 4 + -9(-5 + x)
-3 + 7x = 4 + (-5 * -9 + x * -9)
-3 + 7x = 4 + (45 + -9x)

Combine like terms: 4 + 45 = 49
-3 + 7x = 49 + -9x

Solving
-3 + 7x = 49 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-3 + 7x + 9x = 49 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-3 + 16x = 49 + -9x + 9x

Combine like terms: -9x + 9x = 0
-3 + 16x = 49 + 0
-3 + 16x = 49

Add '3' to each side of the equation.
-3 + 3 + 16x = 49 + 3

Combine like terms: -3 + 3 = 0
0 + 16x = 49 + 3
16x = 49 + 3

Combine like terms: 49 + 3 = 52
16x = 52

Divide each side by '16'.
x = 3.25

Simplifying
x = 3.25

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