4(3x-4)+6=13x+7+(-6x)+8

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Solution for 4(3x-4)+6=13x+7+(-6x)+8 equation:


Simplifying
4(3x + -4) + 6 = 13x + 7 + (-6x) + 8

Reorder the terms:
4(-4 + 3x) + 6 = 13x + 7 + (-6x) + 8
(-4 * 4 + 3x * 4) + 6 = 13x + 7 + (-6x) + 8
(-16 + 12x) + 6 = 13x + 7 + (-6x) + 8

Reorder the terms:
-16 + 6 + 12x = 13x + 7 + (-6x) + 8

Combine like terms: -16 + 6 = -10
-10 + 12x = 13x + 7 + (-6x) + 8

Reorder the terms:
-10 + 12x = 7 + 8 + 13x + (-6x)

Combine like terms: 7 + 8 = 15
-10 + 12x = 15 + 13x + (-6x)

Combine like terms: 13x + (-6x) = 7x
-10 + 12x = 15 + 7x

Solving
-10 + 12x = 15 + 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.
-10 + 12x + -7x = 15 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-10 + 5x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + 5x = 15 + 0
-10 + 5x = 15

Add '10' to each side of the equation.
-10 + 10 + 5x = 15 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 15 + 10
5x = 15 + 10

Combine like terms: 15 + 10 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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