9-4(2x-3)=2(x+1)

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Solution for 9-4(2x-3)=2(x+1) equation:


Simplifying
9 + -4(2x + -3) = 2(x + 1)

Reorder the terms:
9 + -4(-3 + 2x) = 2(x + 1)
9 + (-3 * -4 + 2x * -4) = 2(x + 1)
9 + (12 + -8x) = 2(x + 1)

Combine like terms: 9 + 12 = 21
21 + -8x = 2(x + 1)

Reorder the terms:
21 + -8x = 2(1 + x)
21 + -8x = (1 * 2 + x * 2)
21 + -8x = (2 + 2x)

Solving
21 + -8x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
21 + -8x + -2x = 2 + 2x + -2x

Combine like terms: -8x + -2x = -10x
21 + -10x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -10x = 2 + 0
21 + -10x = 2

Add '-21' to each side of the equation.
21 + -21 + -10x = 2 + -21

Combine like terms: 21 + -21 = 0
0 + -10x = 2 + -21
-10x = 2 + -21

Combine like terms: 2 + -21 = -19
-10x = -19

Divide each side by '-10'.
x = 1.9

Simplifying
x = 1.9

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