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

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


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

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

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

Combine like terms: 2 + -15 = -13
-13 + 4x + 3x = (x + -2) + -4

Combine like terms: 4x + 3x = 7x
-13 + 7x = (x + -2) + -4

Reorder the terms:
-13 + 7x = (-2 + x) + -4

Remove parenthesis around (-2 + x)
-13 + 7x = -2 + x + -4

Reorder the terms:
-13 + 7x = -2 + -4 + x

Combine like terms: -2 + -4 = -6
-13 + 7x = -6 + x

Solving
-13 + 7x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-13 + 7x + -1x = -6 + x + -1x

Combine like terms: 7x + -1x = 6x
-13 + 6x = -6 + x + -1x

Combine like terms: x + -1x = 0
-13 + 6x = -6 + 0
-13 + 6x = -6

Add '13' to each side of the equation.
-13 + 13 + 6x = -6 + 13

Combine like terms: -13 + 13 = 0
0 + 6x = -6 + 13
6x = -6 + 13

Combine like terms: -6 + 13 = 7
6x = 7

Divide each side by '6'.
x = 1.166666667

Simplifying
x = 1.166666667

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