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

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


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

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

Reorder the terms:
15 + 6x + -4(-3 + x) = 5(3x + 1) + -4
15 + 6x + (-3 * -4 + x * -4) = 5(3x + 1) + -4
15 + 6x + (12 + -4x) = 5(3x + 1) + -4

Reorder the terms:
15 + 12 + 6x + -4x = 5(3x + 1) + -4

Combine like terms: 15 + 12 = 27
27 + 6x + -4x = 5(3x + 1) + -4

Combine like terms: 6x + -4x = 2x
27 + 2x = 5(3x + 1) + -4

Reorder the terms:
27 + 2x = 5(1 + 3x) + -4
27 + 2x = (1 * 5 + 3x * 5) + -4
27 + 2x = (5 + 15x) + -4

Reorder the terms:
27 + 2x = 5 + -4 + 15x

Combine like terms: 5 + -4 = 1
27 + 2x = 1 + 15x

Solving
27 + 2x = 1 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
27 + 2x + -15x = 1 + 15x + -15x

Combine like terms: 2x + -15x = -13x
27 + -13x = 1 + 15x + -15x

Combine like terms: 15x + -15x = 0
27 + -13x = 1 + 0
27 + -13x = 1

Add '-27' to each side of the equation.
27 + -27 + -13x = 1 + -27

Combine like terms: 27 + -27 = 0
0 + -13x = 1 + -27
-13x = 1 + -27

Combine like terms: 1 + -27 = -26
-13x = -26

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

Simplifying
x = 2

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