4(2x+3)=x-2

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


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

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

Reorder the terms:
12 + 8x = -2 + x

Solving
12 + 8x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 8x + -1x = -2 + x + -1x

Combine like terms: 8x + -1x = 7x
12 + 7x = -2 + x + -1x

Combine like terms: x + -1x = 0
12 + 7x = -2 + 0
12 + 7x = -2

Add '-12' to each side of the equation.
12 + -12 + 7x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = -2 + -12
7x = -2 + -12

Combine like terms: -2 + -12 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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