7x-12=4x+9(2x-2)

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Solution for 7x-12=4x+9(2x-2) equation:


Simplifying
7x + -12 = 4x + 9(2x + -2)

Reorder the terms:
-12 + 7x = 4x + 9(2x + -2)

Reorder the terms:
-12 + 7x = 4x + 9(-2 + 2x)
-12 + 7x = 4x + (-2 * 9 + 2x * 9)
-12 + 7x = 4x + (-18 + 18x)

Reorder the terms:
-12 + 7x = -18 + 4x + 18x

Combine like terms: 4x + 18x = 22x
-12 + 7x = -18 + 22x

Solving
-12 + 7x = -18 + 22x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22x' to each side of the equation.
-12 + 7x + -22x = -18 + 22x + -22x

Combine like terms: 7x + -22x = -15x
-12 + -15x = -18 + 22x + -22x

Combine like terms: 22x + -22x = 0
-12 + -15x = -18 + 0
-12 + -15x = -18

Add '12' to each side of the equation.
-12 + 12 + -15x = -18 + 12

Combine like terms: -12 + 12 = 0
0 + -15x = -18 + 12
-15x = -18 + 12

Combine like terms: -18 + 12 = -6
-15x = -6

Divide each side by '-15'.
x = 0.4

Simplifying
x = 0.4

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