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

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


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

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

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

Combine like terms: 15 + -3 = 12
12 + 5x + 4x = -1(2x + -4) + 2

Combine like terms: 5x + 4x = 9x
12 + 9x = -1(2x + -4) + 2

Reorder the terms:
12 + 9x = -1(-4 + 2x) + 2
12 + 9x = (-4 * -1 + 2x * -1) + 2
12 + 9x = (4 + -2x) + 2

Reorder the terms:
12 + 9x = 4 + 2 + -2x

Combine like terms: 4 + 2 = 6
12 + 9x = 6 + -2x

Solving
12 + 9x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + 9x + 2x = 6 + -2x + 2x

Combine like terms: 9x + 2x = 11x
12 + 11x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 11x = 6 + 0
12 + 11x = 6

Add '-12' to each side of the equation.
12 + -12 + 11x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = 6 + -12
11x = 6 + -12

Combine like terms: 6 + -12 = -6
11x = -6

Divide each side by '11'.
x = -0.5454545455

Simplifying
x = -0.5454545455

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