5-3(2x+7)=9(x-4)

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Solution for 5-3(2x+7)=9(x-4) equation:


Simplifying
5 + -3(2x + 7) = 9(x + -4)

Reorder the terms:
5 + -3(7 + 2x) = 9(x + -4)
5 + (7 * -3 + 2x * -3) = 9(x + -4)
5 + (-21 + -6x) = 9(x + -4)

Combine like terms: 5 + -21 = -16
-16 + -6x = 9(x + -4)

Reorder the terms:
-16 + -6x = 9(-4 + x)
-16 + -6x = (-4 * 9 + x * 9)
-16 + -6x = (-36 + 9x)

Solving
-16 + -6x = -36 + 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.
-16 + -6x + -9x = -36 + 9x + -9x

Combine like terms: -6x + -9x = -15x
-16 + -15x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
-16 + -15x = -36 + 0
-16 + -15x = -36

Add '16' to each side of the equation.
-16 + 16 + -15x = -36 + 16

Combine like terms: -16 + 16 = 0
0 + -15x = -36 + 16
-15x = -36 + 16

Combine like terms: -36 + 16 = -20
-15x = -20

Divide each side by '-15'.
x = 1.333333333

Simplifying
x = 1.333333333

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