5(x-2)-3=3x-8x+7

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Solution for 5(x-2)-3=3x-8x+7 equation:


Simplifying
5(x + -2) + -3 = 3x + -8x + 7

Reorder the terms:
5(-2 + x) + -3 = 3x + -8x + 7
(-2 * 5 + x * 5) + -3 = 3x + -8x + 7
(-10 + 5x) + -3 = 3x + -8x + 7

Reorder the terms:
-10 + -3 + 5x = 3x + -8x + 7

Combine like terms: -10 + -3 = -13
-13 + 5x = 3x + -8x + 7

Reorder the terms:
-13 + 5x = 7 + 3x + -8x

Combine like terms: 3x + -8x = -5x
-13 + 5x = 7 + -5x

Solving
-13 + 5x = 7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-13 + 5x + 5x = 7 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-13 + 10x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + 10x = 7 + 0
-13 + 10x = 7

Add '13' to each side of the equation.
-13 + 13 + 10x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 10x = 7 + 13
10x = 7 + 13

Combine like terms: 7 + 13 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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