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

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


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

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

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

Solving
-35 + 21x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-35 + 21x + -2x = -6 + 2x + -2x

Combine like terms: 21x + -2x = 19x
-35 + 19x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-35 + 19x = -6 + 0
-35 + 19x = -6

Add '35' to each side of the equation.
-35 + 35 + 19x = -6 + 35

Combine like terms: -35 + 35 = 0
0 + 19x = -6 + 35
19x = -6 + 35

Combine like terms: -6 + 35 = 29
19x = 29

Divide each side by '19'.
x = 1.526315789

Simplifying
x = 1.526315789

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