7(3x-2)=20x-13

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Solution for 7(3x-2)=20x-13 equation:


Simplifying
7(3x + -2) = 20x + -13

Reorder the terms:
7(-2 + 3x) = 20x + -13
(-2 * 7 + 3x * 7) = 20x + -13
(-14 + 21x) = 20x + -13

Reorder the terms:
-14 + 21x = -13 + 20x

Solving
-14 + 21x = -13 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-14 + 21x + -20x = -13 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-14 + 1x = -13 + 20x + -20x

Combine like terms: 20x + -20x = 0
-14 + 1x = -13 + 0
-14 + 1x = -13

Add '14' to each side of the equation.
-14 + 14 + 1x = -13 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = -13 + 14
1x = -13 + 14

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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