4(2x+3)+9=2(x-2)+7

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Solution for 4(2x+3)+9=2(x-2)+7 equation:


Simplifying
4(2x + 3) + 9 = 2(x + -2) + 7

Reorder the terms:
4(3 + 2x) + 9 = 2(x + -2) + 7
(3 * 4 + 2x * 4) + 9 = 2(x + -2) + 7
(12 + 8x) + 9 = 2(x + -2) + 7

Reorder the terms:
12 + 9 + 8x = 2(x + -2) + 7

Combine like terms: 12 + 9 = 21
21 + 8x = 2(x + -2) + 7

Reorder the terms:
21 + 8x = 2(-2 + x) + 7
21 + 8x = (-2 * 2 + x * 2) + 7
21 + 8x = (-4 + 2x) + 7

Reorder the terms:
21 + 8x = -4 + 7 + 2x

Combine like terms: -4 + 7 = 3
21 + 8x = 3 + 2x

Solving
21 + 8x = 3 + 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 = 3 + 2x + -2x

Combine like terms: 8x + -2x = 6x
21 + 6x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 6x = 3 + 0
21 + 6x = 3

Add '-21' to each side of the equation.
21 + -21 + 6x = 3 + -21

Combine like terms: 21 + -21 = 0
0 + 6x = 3 + -21
6x = 3 + -21

Combine like terms: 3 + -21 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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