x+9=4(2x-3)

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


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

Reorder the terms:
9 + x = 4(2x + -3)

Reorder the terms:
9 + x = 4(-3 + 2x)
9 + x = (-3 * 4 + 2x * 4)
9 + x = (-12 + 8x)

Solving
9 + x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9 + x + -8x = -12 + 8x + -8x

Combine like terms: x + -8x = -7x
9 + -7x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -7x = -12 + 0
9 + -7x = -12

Add '-9' to each side of the equation.
9 + -9 + -7x = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -12 + -9
-7x = -12 + -9

Combine like terms: -12 + -9 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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