7(x-1)=-9(x+3)+48

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Solution for 7(x-1)=-9(x+3)+48 equation:


Simplifying
7(x + -1) = -9(x + 3) + 48

Reorder the terms:
7(-1 + x) = -9(x + 3) + 48
(-1 * 7 + x * 7) = -9(x + 3) + 48
(-7 + 7x) = -9(x + 3) + 48

Reorder the terms:
-7 + 7x = -9(3 + x) + 48
-7 + 7x = (3 * -9 + x * -9) + 48
-7 + 7x = (-27 + -9x) + 48

Reorder the terms:
-7 + 7x = -27 + 48 + -9x

Combine like terms: -27 + 48 = 21
-7 + 7x = 21 + -9x

Solving
-7 + 7x = 21 + -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.
-7 + 7x + 9x = 21 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-7 + 16x = 21 + -9x + 9x

Combine like terms: -9x + 9x = 0
-7 + 16x = 21 + 0
-7 + 16x = 21

Add '7' to each side of the equation.
-7 + 7 + 16x = 21 + 7

Combine like terms: -7 + 7 = 0
0 + 16x = 21 + 7
16x = 21 + 7

Combine like terms: 21 + 7 = 28
16x = 28

Divide each side by '16'.
x = 1.75

Simplifying
x = 1.75

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