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

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


Simplifying
5(3 + -2x) + 1 = 6(4 + -1x)
(3 * 5 + -2x * 5) + 1 = 6(4 + -1x)
(15 + -10x) + 1 = 6(4 + -1x)

Reorder the terms:
15 + 1 + -10x = 6(4 + -1x)

Combine like terms: 15 + 1 = 16
16 + -10x = 6(4 + -1x)
16 + -10x = (4 * 6 + -1x * 6)
16 + -10x = (24 + -6x)

Solving
16 + -10x = 24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
16 + -10x + 6x = 24 + -6x + 6x

Combine like terms: -10x + 6x = -4x
16 + -4x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
16 + -4x = 24 + 0
16 + -4x = 24

Add '-16' to each side of the equation.
16 + -16 + -4x = 24 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 24 + -16
-4x = 24 + -16

Combine like terms: 24 + -16 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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