7(3x-5)=3(x-2)-19

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Solution for 7(3x-5)=3(x-2)-19 equation:


Simplifying
7(3x + -5) = 3(x + -2) + -19

Reorder the terms:
7(-5 + 3x) = 3(x + -2) + -19
(-5 * 7 + 3x * 7) = 3(x + -2) + -19
(-35 + 21x) = 3(x + -2) + -19

Reorder the terms:
-35 + 21x = 3(-2 + x) + -19
-35 + 21x = (-2 * 3 + x * 3) + -19
-35 + 21x = (-6 + 3x) + -19

Reorder the terms:
-35 + 21x = -6 + -19 + 3x

Combine like terms: -6 + -19 = -25
-35 + 21x = -25 + 3x

Solving
-35 + 21x = -25 + 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.
-35 + 21x + -3x = -25 + 3x + -3x

Combine like terms: 21x + -3x = 18x
-35 + 18x = -25 + 3x + -3x

Combine like terms: 3x + -3x = 0
-35 + 18x = -25 + 0
-35 + 18x = -25

Add '35' to each side of the equation.
-35 + 35 + 18x = -25 + 35

Combine like terms: -35 + 35 = 0
0 + 18x = -25 + 35
18x = -25 + 35

Combine like terms: -25 + 35 = 10
18x = 10

Divide each side by '18'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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