2(x-5)-3(2x-7)=12-5(3x+1)

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Solution for 2(x-5)-3(2x-7)=12-5(3x+1) equation:


Simplifying
2(x + -5) + -3(2x + -7) = 12 + -5(3x + 1)

Reorder the terms:
2(-5 + x) + -3(2x + -7) = 12 + -5(3x + 1)
(-5 * 2 + x * 2) + -3(2x + -7) = 12 + -5(3x + 1)
(-10 + 2x) + -3(2x + -7) = 12 + -5(3x + 1)

Reorder the terms:
-10 + 2x + -3(-7 + 2x) = 12 + -5(3x + 1)
-10 + 2x + (-7 * -3 + 2x * -3) = 12 + -5(3x + 1)
-10 + 2x + (21 + -6x) = 12 + -5(3x + 1)

Reorder the terms:
-10 + 21 + 2x + -6x = 12 + -5(3x + 1)

Combine like terms: -10 + 21 = 11
11 + 2x + -6x = 12 + -5(3x + 1)

Combine like terms: 2x + -6x = -4x
11 + -4x = 12 + -5(3x + 1)

Reorder the terms:
11 + -4x = 12 + -5(1 + 3x)
11 + -4x = 12 + (1 * -5 + 3x * -5)
11 + -4x = 12 + (-5 + -15x)

Combine like terms: 12 + -5 = 7
11 + -4x = 7 + -15x

Solving
11 + -4x = 7 + -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.
11 + -4x + 15x = 7 + -15x + 15x

Combine like terms: -4x + 15x = 11x
11 + 11x = 7 + -15x + 15x

Combine like terms: -15x + 15x = 0
11 + 11x = 7 + 0
11 + 11x = 7

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

Combine like terms: 11 + -11 = 0
0 + 11x = 7 + -11
11x = 7 + -11

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

Divide each side by '11'.
x = -0.3636363636

Simplifying
x = -0.3636363636

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