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

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


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

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

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

Reorder the terms:
12 + 8x = -3 + 3 + 3x

Combine like terms: -3 + 3 = 0
12 + 8x = 0 + 3x
12 + 8x = 3x

Solving
12 + 8x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 8x + -3x = 3x + -3x

Combine like terms: 8x + -3x = 5x
12 + 5x = 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 5x = 0

Add '-12' to each side of the equation.
12 + -12 + 5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 0 + -12
5x = 0 + -12

Combine like terms: 0 + -12 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4

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