4(3x-6)-3=8(x+1)+7

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Solution for 4(3x-6)-3=8(x+1)+7 equation:


Simplifying
4(3x + -6) + -3 = 8(x + 1) + 7

Reorder the terms:
4(-6 + 3x) + -3 = 8(x + 1) + 7
(-6 * 4 + 3x * 4) + -3 = 8(x + 1) + 7
(-24 + 12x) + -3 = 8(x + 1) + 7

Reorder the terms:
-24 + -3 + 12x = 8(x + 1) + 7

Combine like terms: -24 + -3 = -27
-27 + 12x = 8(x + 1) + 7

Reorder the terms:
-27 + 12x = 8(1 + x) + 7
-27 + 12x = (1 * 8 + x * 8) + 7
-27 + 12x = (8 + 8x) + 7

Reorder the terms:
-27 + 12x = 8 + 7 + 8x

Combine like terms: 8 + 7 = 15
-27 + 12x = 15 + 8x

Solving
-27 + 12x = 15 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-27 + 12x + -8x = 15 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-27 + 4x = 15 + 8x + -8x

Combine like terms: 8x + -8x = 0
-27 + 4x = 15 + 0
-27 + 4x = 15

Add '27' to each side of the equation.
-27 + 27 + 4x = 15 + 27

Combine like terms: -27 + 27 = 0
0 + 4x = 15 + 27
4x = 15 + 27

Combine like terms: 15 + 27 = 42
4x = 42

Divide each side by '4'.
x = 10.5

Simplifying
x = 10.5

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