9(x-7)=-3(x-53)

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Solution for 9(x-7)=-3(x-53) equation:


Simplifying
9(x + -7) = -3(x + -53)

Reorder the terms:
9(-7 + x) = -3(x + -53)
(-7 * 9 + x * 9) = -3(x + -53)
(-63 + 9x) = -3(x + -53)

Reorder the terms:
-63 + 9x = -3(-53 + x)
-63 + 9x = (-53 * -3 + x * -3)
-63 + 9x = (159 + -3x)

Solving
-63 + 9x = 159 + -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.
-63 + 9x + 3x = 159 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-63 + 12x = 159 + -3x + 3x

Combine like terms: -3x + 3x = 0
-63 + 12x = 159 + 0
-63 + 12x = 159

Add '63' to each side of the equation.
-63 + 63 + 12x = 159 + 63

Combine like terms: -63 + 63 = 0
0 + 12x = 159 + 63
12x = 159 + 63

Combine like terms: 159 + 63 = 222
12x = 222

Divide each side by '12'.
x = 18.5

Simplifying
x = 18.5

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