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

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


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

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

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

Combine like terms: 12 + -5 = 7
7 + 3x = 6x + -4(-2 + x)
7 + 3x = 6x + (-2 * -4 + x * -4)
7 + 3x = 6x + (8 + -4x)

Reorder the terms:
7 + 3x = 8 + 6x + -4x

Combine like terms: 6x + -4x = 2x
7 + 3x = 8 + 2x

Solving
7 + 3x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
7 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 1x = 8 + 0
7 + 1x = 8

Add '-7' to each side of the equation.
7 + -7 + 1x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 8 + -7
1x = 8 + -7

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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