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

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


Simplifying
3(5 + -2x) + 1 = 2(x + 2) + -5x
(5 * 3 + -2x * 3) + 1 = 2(x + 2) + -5x
(15 + -6x) + 1 = 2(x + 2) + -5x

Reorder the terms:
15 + 1 + -6x = 2(x + 2) + -5x

Combine like terms: 15 + 1 = 16
16 + -6x = 2(x + 2) + -5x

Reorder the terms:
16 + -6x = 2(2 + x) + -5x
16 + -6x = (2 * 2 + x * 2) + -5x
16 + -6x = (4 + 2x) + -5x

Combine like terms: 2x + -5x = -3x
16 + -6x = 4 + -3x

Solving
16 + -6x = 4 + -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.
16 + -6x + 3x = 4 + -3x + 3x

Combine like terms: -6x + 3x = -3x
16 + -3x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + -3x = 4 + 0
16 + -3x = 4

Add '-16' to each side of the equation.
16 + -16 + -3x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 4 + -16
-3x = 4 + -16

Combine like terms: 4 + -16 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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