4[6x-3(x+2)]=7x+1

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Solution for 4[6x-3(x+2)]=7x+1 equation:


Simplifying
4[6x + -3(x + 2)] = 7x + 1

Reorder the terms:
4[6x + -3(2 + x)] = 7x + 1
4[6x + (2 * -3 + x * -3)] = 7x + 1
4[6x + (-6 + -3x)] = 7x + 1

Reorder the terms:
4[-6 + 6x + -3x] = 7x + 1

Combine like terms: 6x + -3x = 3x
4[-6 + 3x] = 7x + 1
[-6 * 4 + 3x * 4] = 7x + 1
[-24 + 12x] = 7x + 1

Reorder the terms:
-24 + 12x = 1 + 7x

Solving
-24 + 12x = 1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-24 + 12x + -7x = 1 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-24 + 5x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + 5x = 1 + 0
-24 + 5x = 1

Add '24' to each side of the equation.
-24 + 24 + 5x = 1 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 1 + 24
5x = 1 + 24

Combine like terms: 1 + 24 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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