3(x-4)+7=5x

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


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

Reorder the terms:
3(-4 + x) + 7 = 5x
(-4 * 3 + x * 3) + 7 = 5x
(-12 + 3x) + 7 = 5x

Reorder the terms:
-12 + 7 + 3x = 5x

Combine like terms: -12 + 7 = -5
-5 + 3x = 5x

Solving
-5 + 3x = 5x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -5x = -2x
-5 + -2x = 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -2x = 0

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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