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

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


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

Reorder the terms:
3(5 + 2x) = 4(x + -3) + 1
(5 * 3 + 2x * 3) = 4(x + -3) + 1
(15 + 6x) = 4(x + -3) + 1

Reorder the terms:
15 + 6x = 4(-3 + x) + 1
15 + 6x = (-3 * 4 + x * 4) + 1
15 + 6x = (-12 + 4x) + 1

Reorder the terms:
15 + 6x = -12 + 1 + 4x

Combine like terms: -12 + 1 = -11
15 + 6x = -11 + 4x

Solving
15 + 6x = -11 + 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.
15 + 6x + -4x = -11 + 4x + -4x

Combine like terms: 6x + -4x = 2x
15 + 2x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 2x = -11 + 0
15 + 2x = -11

Add '-15' to each side of the equation.
15 + -15 + 2x = -11 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -11 + -15
2x = -11 + -15

Combine like terms: -11 + -15 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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