2(2x+7)+3(3x-5)=3(4x+5)-1

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Solution for 2(2x+7)+3(3x-5)=3(4x+5)-1 equation:


Simplifying
2(2x + 7) + 3(3x + -5) = 3(4x + 5) + -1

Reorder the terms:
2(7 + 2x) + 3(3x + -5) = 3(4x + 5) + -1
(7 * 2 + 2x * 2) + 3(3x + -5) = 3(4x + 5) + -1
(14 + 4x) + 3(3x + -5) = 3(4x + 5) + -1

Reorder the terms:
14 + 4x + 3(-5 + 3x) = 3(4x + 5) + -1
14 + 4x + (-5 * 3 + 3x * 3) = 3(4x + 5) + -1
14 + 4x + (-15 + 9x) = 3(4x + 5) + -1

Reorder the terms:
14 + -15 + 4x + 9x = 3(4x + 5) + -1

Combine like terms: 14 + -15 = -1
-1 + 4x + 9x = 3(4x + 5) + -1

Combine like terms: 4x + 9x = 13x
-1 + 13x = 3(4x + 5) + -1

Reorder the terms:
-1 + 13x = 3(5 + 4x) + -1
-1 + 13x = (5 * 3 + 4x * 3) + -1
-1 + 13x = (15 + 12x) + -1

Reorder the terms:
-1 + 13x = 15 + -1 + 12x

Combine like terms: 15 + -1 = 14
-1 + 13x = 14 + 12x

Solving
-1 + 13x = 14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-1 + 13x + -12x = 14 + 12x + -12x

Combine like terms: 13x + -12x = 1x
-1 + 1x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
-1 + 1x = 14 + 0
-1 + 1x = 14

Add '1' to each side of the equation.
-1 + 1 + 1x = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 14 + 1
1x = 14 + 1

Combine like terms: 14 + 1 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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