4(3x+2)+7(x-1)=18x

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Solution for 4(3x+2)+7(x-1)=18x equation: 


Simplifying
4(3x + 2) + 7(x + -1) = 18x

Reorder the terms:
4(2 + 3x) + 7(x + -1) = 18x
(2 * 4 + 3x * 4) + 7(x + -1) = 18x
(8 + 12x) + 7(x + -1) = 18x

Reorder the terms:
8 + 12x + 7(-1 + x) = 18x
8 + 12x + (-1 * 7 + x * 7) = 18x
8 + 12x + (-7 + 7x) = 18x

Reorder the terms:
8 + -7 + 12x + 7x = 18x

Combine like terms: 8 + -7 = 1
1 + 12x + 7x = 18x

Combine like terms: 12x + 7x = 19x
1 + 19x = 18x

Solving
1 + 19x = 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
1 + 19x + -18x = 18x + -18x

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

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

Add '-1' to each side of the equation.
1 + -1 + 1x = 0 + -1

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

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

Divide each side by '1'.
x = -1

Simplifying
x = -1

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