7(2x-1)-5(x-3)=20

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Solution for 7(2x-1)-5(x-3)=20 equation:


Simplifying
7(2x + -1) + -5(x + -3) = 20

Reorder the terms:
7(-1 + 2x) + -5(x + -3) = 20
(-1 * 7 + 2x * 7) + -5(x + -3) = 20
(-7 + 14x) + -5(x + -3) = 20

Reorder the terms:
-7 + 14x + -5(-3 + x) = 20
-7 + 14x + (-3 * -5 + x * -5) = 20
-7 + 14x + (15 + -5x) = 20

Reorder the terms:
-7 + 15 + 14x + -5x = 20

Combine like terms: -7 + 15 = 8
8 + 14x + -5x = 20

Combine like terms: 14x + -5x = 9x
8 + 9x = 20

Solving
8 + 9x = 20

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 9x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 20 + -8
9x = 20 + -8

Combine like terms: 20 + -8 = 12
9x = 12

Divide each side by '9'.
x = 1.333333333

Simplifying
x = 1.333333333

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