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

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


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

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

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

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

Combine like terms: 15 + 2 = 17
17 + 12x + -2x = 3(x + 5) + -5

Combine like terms: 12x + -2x = 10x
17 + 10x = 3(x + 5) + -5

Reorder the terms:
17 + 10x = 3(5 + x) + -5
17 + 10x = (5 * 3 + x * 3) + -5
17 + 10x = (15 + 3x) + -5

Reorder the terms:
17 + 10x = 15 + -5 + 3x

Combine like terms: 15 + -5 = 10
17 + 10x = 10 + 3x

Solving
17 + 10x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
17 + 10x + -3x = 10 + 3x + -3x

Combine like terms: 10x + -3x = 7x
17 + 7x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + 7x = 10 + 0
17 + 7x = 10

Add '-17' to each side of the equation.
17 + -17 + 7x = 10 + -17

Combine like terms: 17 + -17 = 0
0 + 7x = 10 + -17
7x = 10 + -17

Combine like terms: 10 + -17 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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