5(3x+5)-4(2x-3)=5x+3(2x-12)+1

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Solution for 5(3x+5)-4(2x-3)=5x+3(2x-12)+1 equation: 


Simplifying
5(3x + 5) + -4(2x + -3) = 5x + 3(2x + -12) + 1

Reorder the terms:
5(5 + 3x) + -4(2x + -3) = 5x + 3(2x + -12) + 1
(5 * 5 + 3x * 5) + -4(2x + -3) = 5x + 3(2x + -12) + 1
(25 + 15x) + -4(2x + -3) = 5x + 3(2x + -12) + 1

Reorder the terms:
25 + 15x + -4(-3 + 2x) = 5x + 3(2x + -12) + 1
25 + 15x + (-3 * -4 + 2x * -4) = 5x + 3(2x + -12) + 1
25 + 15x + (12 + -8x) = 5x + 3(2x + -12) + 1

Reorder the terms:
25 + 12 + 15x + -8x = 5x + 3(2x + -12) + 1

Combine like terms: 25 + 12 = 37
37 + 15x + -8x = 5x + 3(2x + -12) + 1

Combine like terms: 15x + -8x = 7x
37 + 7x = 5x + 3(2x + -12) + 1

Reorder the terms:
37 + 7x = 5x + 3(-12 + 2x) + 1
37 + 7x = 5x + (-12 * 3 + 2x * 3) + 1
37 + 7x = 5x + (-36 + 6x) + 1

Reorder the terms:
37 + 7x = -36 + 1 + 5x + 6x

Combine like terms: -36 + 1 = -35
37 + 7x = -35 + 5x + 6x

Combine like terms: 5x + 6x = 11x
37 + 7x = -35 + 11x

Solving
37 + 7x = -35 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
37 + 7x + -11x = -35 + 11x + -11x

Combine like terms: 7x + -11x = -4x
37 + -4x = -35 + 11x + -11x

Combine like terms: 11x + -11x = 0
37 + -4x = -35 + 0
37 + -4x = -35

Add '-37' to each side of the equation.
37 + -37 + -4x = -35 + -37

Combine like terms: 37 + -37 = 0
0 + -4x = -35 + -37
-4x = -35 + -37

Combine like terms: -35 + -37 = -72
-4x = -72

Divide each side by '-4'.
x = 18

Simplifying
x = 18

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