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

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


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

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

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

Reorder the terms:
5 + -2x = -5(3 + 2x) + 3
5 + -2x = (3 * -5 + 2x * -5) + 3
5 + -2x = (-15 + -10x) + 3

Reorder the terms:
5 + -2x = -15 + 3 + -10x

Combine like terms: -15 + 3 = -12
5 + -2x = -12 + -10x

Solving
5 + -2x = -12 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
5 + -2x + 10x = -12 + -10x + 10x

Combine like terms: -2x + 10x = 8x
5 + 8x = -12 + -10x + 10x

Combine like terms: -10x + 10x = 0
5 + 8x = -12 + 0
5 + 8x = -12

Add '-5' to each side of the equation.
5 + -5 + 8x = -12 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = -12 + -5
8x = -12 + -5

Combine like terms: -12 + -5 = -17
8x = -17

Divide each side by '8'.
x = -2.125

Simplifying
x = -2.125

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