3(4x-2)+5=7x+6

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Solution for 3(4x-2)+5=7x+6 equation:


Simplifying
3(4x + -2) + 5 = 7x + 6

Reorder the terms:
3(-2 + 4x) + 5 = 7x + 6
(-2 * 3 + 4x * 3) + 5 = 7x + 6
(-6 + 12x) + 5 = 7x + 6

Reorder the terms:
-6 + 5 + 12x = 7x + 6

Combine like terms: -6 + 5 = -1
-1 + 12x = 7x + 6

Reorder the terms:
-1 + 12x = 6 + 7x

Solving
-1 + 12x = 6 + 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.
-1 + 12x + -7x = 6 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-1 + 5x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + 5x = 6 + 0
-1 + 5x = 6

Add '1' to each side of the equation.
-1 + 1 + 5x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 6 + 1
5x = 6 + 1

Combine like terms: 6 + 1 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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