3(x+30)=7x-5

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Solution for 3(x+30)=7x-5 equation:


Simplifying
3(x + 30) = 7x + -5

Reorder the terms:
3(30 + x) = 7x + -5
(30 * 3 + x * 3) = 7x + -5
(90 + 3x) = 7x + -5

Reorder the terms:
90 + 3x = -5 + 7x

Solving
90 + 3x = -5 + 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.
90 + 3x + -7x = -5 + 7x + -7x

Combine like terms: 3x + -7x = -4x
90 + -4x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
90 + -4x = -5 + 0
90 + -4x = -5

Add '-90' to each side of the equation.
90 + -90 + -4x = -5 + -90

Combine like terms: 90 + -90 = 0
0 + -4x = -5 + -90
-4x = -5 + -90

Combine like terms: -5 + -90 = -95
-4x = -95

Divide each side by '-4'.
x = 23.75

Simplifying
x = 23.75

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