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

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


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

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

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

Combine like terms: -9 + 1 = -8
-8 + 3x = 5x + 4

Reorder the terms:
-8 + 3x = 4 + 5x

Solving
-8 + 3x = 4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 3x + -5x = 4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-8 + -2x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -2x = 4 + 0
-8 + -2x = 4

Add '8' to each side of the equation.
-8 + 8 + -2x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 4 + 8
-2x = 4 + 8

Combine like terms: 4 + 8 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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