3(x+5)=7x-3

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


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

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

Reorder the terms:
15 + 3x = -3 + 7x

Solving
15 + 3x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 3x + -7x = -3 + 7x + -7x

Combine like terms: 3x + -7x = -4x
15 + -4x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -4x = -3 + 0
15 + -4x = -3

Add '-15' to each side of the equation.
15 + -15 + -4x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -3 + -15
-4x = -3 + -15

Combine like terms: -3 + -15 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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