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

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


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

Reorder the terms:
3(3 + x) + 1 = 4(2x + -5)
(3 * 3 + x * 3) + 1 = 4(2x + -5)
(9 + 3x) + 1 = 4(2x + -5)

Reorder the terms:
9 + 1 + 3x = 4(2x + -5)

Combine like terms: 9 + 1 = 10
10 + 3x = 4(2x + -5)

Reorder the terms:
10 + 3x = 4(-5 + 2x)
10 + 3x = (-5 * 4 + 2x * 4)
10 + 3x = (-20 + 8x)

Solving
10 + 3x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
10 + 3x + -8x = -20 + 8x + -8x

Combine like terms: 3x + -8x = -5x
10 + -5x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -5x = -20 + 0
10 + -5x = -20

Add '-10' to each side of the equation.
10 + -10 + -5x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = -20 + -10
-5x = -20 + -10

Combine like terms: -20 + -10 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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