3(x-5)+2=8x-(4x+1)

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Solution for 3(x-5)+2=8x-(4x+1) equation:


Simplifying
3(x + -5) + 2 = 8x + -1(4x + 1)

Reorder the terms:
3(-5 + x) + 2 = 8x + -1(4x + 1)
(-5 * 3 + x * 3) + 2 = 8x + -1(4x + 1)
(-15 + 3x) + 2 = 8x + -1(4x + 1)

Reorder the terms:
-15 + 2 + 3x = 8x + -1(4x + 1)

Combine like terms: -15 + 2 = -13
-13 + 3x = 8x + -1(4x + 1)

Reorder the terms:
-13 + 3x = 8x + -1(1 + 4x)
-13 + 3x = 8x + (1 * -1 + 4x * -1)
-13 + 3x = 8x + (-1 + -4x)

Reorder the terms:
-13 + 3x = -1 + 8x + -4x

Combine like terms: 8x + -4x = 4x
-13 + 3x = -1 + 4x

Solving
-13 + 3x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + 3x + -4x = -1 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-13 + -1x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -1x = -1 + 0
-13 + -1x = -1

Add '13' to each side of the equation.
-13 + 13 + -1x = -1 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = -1 + 13
-1x = -1 + 13

Combine like terms: -1 + 13 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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