3x-5=4(x+7)

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Solution for 3x-5=4(x+7) equation:


Simplifying
3x + -5 = 4(x + 7)

Reorder the terms:
-5 + 3x = 4(x + 7)

Reorder the terms:
-5 + 3x = 4(7 + x)
-5 + 3x = (7 * 4 + x * 4)
-5 + 3x = (28 + 4x)

Solving
-5 + 3x = 28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 3x + -4x = 28 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-5 + -1x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -1x = 28 + 0
-5 + -1x = 28

Add '5' to each side of the equation.
-5 + 5 + -1x = 28 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 28 + 5
-1x = 28 + 5

Combine like terms: 28 + 5 = 33
-1x = 33

Divide each side by '-1'.
x = -33

Simplifying
x = -33

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