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

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


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

Reorder the terms:
7(3 + 2x) + -3 = 5(3x + -7)
(3 * 7 + 2x * 7) + -3 = 5(3x + -7)
(21 + 14x) + -3 = 5(3x + -7)

Reorder the terms:
21 + -3 + 14x = 5(3x + -7)

Combine like terms: 21 + -3 = 18
18 + 14x = 5(3x + -7)

Reorder the terms:
18 + 14x = 5(-7 + 3x)
18 + 14x = (-7 * 5 + 3x * 5)
18 + 14x = (-35 + 15x)

Solving
18 + 14x = -35 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
18 + 14x + -15x = -35 + 15x + -15x

Combine like terms: 14x + -15x = -1x
18 + -1x = -35 + 15x + -15x

Combine like terms: 15x + -15x = 0
18 + -1x = -35 + 0
18 + -1x = -35

Add '-18' to each side of the equation.
18 + -18 + -1x = -35 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = -35 + -18
-1x = -35 + -18

Combine like terms: -35 + -18 = -53
-1x = -53

Divide each side by '-1'.
x = 53

Simplifying
x = 53

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