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

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Solution for 5(x+2)=3(4x-1)+6 equation: 


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

Reorder the terms:
5(2 + x) = 3(4x + -1) + 6
(2 * 5 + x * 5) = 3(4x + -1) + 6
(10 + 5x) = 3(4x + -1) + 6

Reorder the terms:
10 + 5x = 3(-1 + 4x) + 6
10 + 5x = (-1 * 3 + 4x * 3) + 6
10 + 5x = (-3 + 12x) + 6

Reorder the terms:
10 + 5x = -3 + 6 + 12x

Combine like terms: -3 + 6 = 3
10 + 5x = 3 + 12x

Solving
10 + 5x = 3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + 5x + -12x = 3 + 12x + -12x

Combine like terms: 5x + -12x = -7x
10 + -7x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -7x = 3 + 0
10 + -7x = 3

Add '-10' to each side of the equation.
10 + -10 + -7x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 3 + -10
-7x = 3 + -10

Combine like terms: 3 + -10 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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