4(x+3)=2x-3

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


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

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

Reorder the terms:
12 + 4x = -3 + 2x

Solving
12 + 4x = -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.
12 + 4x + -2x = -3 + 2x + -2x

Combine like terms: 4x + -2x = 2x
12 + 2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 2x = -3 + 0
12 + 2x = -3

Add '-12' to each side of the equation.
12 + -12 + 2x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -3 + -12
2x = -3 + -12

Combine like terms: -3 + -12 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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