7x-5=3(x-9)

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


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

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

Reorder the terms:
-5 + 7x = 3(-9 + x)
-5 + 7x = (-9 * 3 + x * 3)
-5 + 7x = (-27 + 3x)

Solving
-5 + 7x = -27 + 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.
-5 + 7x + -3x = -27 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-5 + 4x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 4x = -27 + 0
-5 + 4x = -27

Add '5' to each side of the equation.
-5 + 5 + 4x = -27 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = -27 + 5
4x = -27 + 5

Combine like terms: -27 + 5 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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