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

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


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

Reorder the terms:
9 + -2(-3 + x) = 4 + 3(2x + 1)
9 + (-3 * -2 + x * -2) = 4 + 3(2x + 1)
9 + (6 + -2x) = 4 + 3(2x + 1)

Combine like terms: 9 + 6 = 15
15 + -2x = 4 + 3(2x + 1)

Reorder the terms:
15 + -2x = 4 + 3(1 + 2x)
15 + -2x = 4 + (1 * 3 + 2x * 3)
15 + -2x = 4 + (3 + 6x)

Combine like terms: 4 + 3 = 7
15 + -2x = 7 + 6x

Solving
15 + -2x = 7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + -2x + -6x = 7 + 6x + -6x

Combine like terms: -2x + -6x = -8x
15 + -8x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -8x = 7 + 0
15 + -8x = 7

Add '-15' to each side of the equation.
15 + -15 + -8x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = 7 + -15
-8x = 7 + -15

Combine like terms: 7 + -15 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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