7x-19=3(x-3)

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Solution for 7x-19=3(x-3) equation:


Simplifying
7x + -19 = 3(x + -3)

Reorder the terms:
-19 + 7x = 3(x + -3)

Reorder the terms:
-19 + 7x = 3(-3 + x)
-19 + 7x = (-3 * 3 + x * 3)
-19 + 7x = (-9 + 3x)

Solving
-19 + 7x = -9 + 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.
-19 + 7x + -3x = -9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-19 + 4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-19 + 4x = -9 + 0
-19 + 4x = -9

Add '19' to each side of the equation.
-19 + 19 + 4x = -9 + 19

Combine like terms: -19 + 19 = 0
0 + 4x = -9 + 19
4x = -9 + 19

Combine like terms: -9 + 19 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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