4(6x+1)-3(2x-3)+4x-6=51

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Solution for 4(6x+1)-3(2x-3)+4x-6=51 equation: 


Simplifying
4(6x + 1) + -3(2x + -3) + 4x + -6 = 51

Reorder the terms:
4(1 + 6x) + -3(2x + -3) + 4x + -6 = 51
(1 * 4 + 6x * 4) + -3(2x + -3) + 4x + -6 = 51
(4 + 24x) + -3(2x + -3) + 4x + -6 = 51

Reorder the terms:
4 + 24x + -3(-3 + 2x) + 4x + -6 = 51
4 + 24x + (-3 * -3 + 2x * -3) + 4x + -6 = 51
4 + 24x + (9 + -6x) + 4x + -6 = 51

Reorder the terms:
4 + 9 + -6 + 24x + -6x + 4x = 51

Combine like terms: 4 + 9 = 13
13 + -6 + 24x + -6x + 4x = 51

Combine like terms: 13 + -6 = 7
7 + 24x + -6x + 4x = 51

Combine like terms: 24x + -6x = 18x
7 + 18x + 4x = 51

Combine like terms: 18x + 4x = 22x
7 + 22x = 51

Solving
7 + 22x = 51

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 22x = 51 + -7

Combine like terms: 7 + -7 = 0
0 + 22x = 51 + -7
22x = 51 + -7

Combine like terms: 51 + -7 = 44
22x = 44

Divide each side by '22'.
x = 2

Simplifying
x = 2

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