2(5x-3)=3x-22

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Solution for 2(5x-3)=3x-22 equation:


Simplifying
2(5x + -3) = 3x + -22

Reorder the terms:
2(-3 + 5x) = 3x + -22
(-3 * 2 + 5x * 2) = 3x + -22
(-6 + 10x) = 3x + -22

Reorder the terms:
-6 + 10x = -22 + 3x

Solving
-6 + 10x = -22 + 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.
-6 + 10x + -3x = -22 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-6 + 7x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 7x = -22 + 0
-6 + 7x = -22

Add '6' to each side of the equation.
-6 + 6 + 7x = -22 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = -22 + 6
7x = -22 + 6

Combine like terms: -22 + 6 = -16
7x = -16

Divide each side by '7'.
x = -2.285714286

Simplifying
x = -2.285714286

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