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

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


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

Reorder the terms:
3(-6 + x) = 8 + -1(4x + 7)
(-6 * 3 + x * 3) = 8 + -1(4x + 7)
(-18 + 3x) = 8 + -1(4x + 7)

Reorder the terms:
-18 + 3x = 8 + -1(7 + 4x)
-18 + 3x = 8 + (7 * -1 + 4x * -1)
-18 + 3x = 8 + (-7 + -4x)

Combine like terms: 8 + -7 = 1
-18 + 3x = 1 + -4x

Solving
-18 + 3x = 1 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-18 + 3x + 4x = 1 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-18 + 7x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 7x = 1 + 0
-18 + 7x = 1

Add '18' to each side of the equation.
-18 + 18 + 7x = 1 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = 1 + 18
7x = 1 + 18

Combine like terms: 1 + 18 = 19
7x = 19

Divide each side by '7'.
x = 2.714285714

Simplifying
x = 2.714285714

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