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

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


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

Reorder the terms:
6(-4 + x) + 5 = 1 + -2(x + 3)
(-4 * 6 + x * 6) + 5 = 1 + -2(x + 3)
(-24 + 6x) + 5 = 1 + -2(x + 3)

Reorder the terms:
-24 + 5 + 6x = 1 + -2(x + 3)

Combine like terms: -24 + 5 = -19
-19 + 6x = 1 + -2(x + 3)

Reorder the terms:
-19 + 6x = 1 + -2(3 + x)
-19 + 6x = 1 + (3 * -2 + x * -2)
-19 + 6x = 1 + (-6 + -2x)

Combine like terms: 1 + -6 = -5
-19 + 6x = -5 + -2x

Solving
-19 + 6x = -5 + -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.
-19 + 6x + 2x = -5 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-19 + 8x = -5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-19 + 8x = -5 + 0
-19 + 8x = -5

Add '19' to each side of the equation.
-19 + 19 + 8x = -5 + 19

Combine like terms: -19 + 19 = 0
0 + 8x = -5 + 19
8x = -5 + 19

Combine like terms: -5 + 19 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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