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

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


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

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

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

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

Reorder the terms:
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 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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