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

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


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

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

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

Combine like terms: -15 + 2 = -13
-13 + 5x = 3(1 + -1x) + -2
-13 + 5x = (1 * 3 + -1x * 3) + -2
-13 + 5x = (3 + -3x) + -2

Reorder the terms:
-13 + 5x = 3 + -2 + -3x

Combine like terms: 3 + -2 = 1
-13 + 5x = 1 + -3x

Solving
-13 + 5x = 1 + -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.
-13 + 5x + 3x = 1 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-13 + 8x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
-13 + 8x = 1 + 0
-13 + 8x = 1

Add '13' to each side of the equation.
-13 + 13 + 8x = 1 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 1 + 13
8x = 1 + 13

Combine like terms: 1 + 13 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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