5(x-4)+3=7x

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


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

Reorder the terms:
5(-4 + x) + 3 = 7x
(-4 * 5 + x * 5) + 3 = 7x
(-20 + 5x) + 3 = 7x

Reorder the terms:
-20 + 3 + 5x = 7x

Combine like terms: -20 + 3 = -17
-17 + 5x = 7x

Solving
-17 + 5x = 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.
-17 + 5x + -7x = 7x + -7x

Combine like terms: 5x + -7x = -2x
-17 + -2x = 7x + -7x

Combine like terms: 7x + -7x = 0
-17 + -2x = 0

Add '17' to each side of the equation.
-17 + 17 + -2x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -2x = 0 + 17
-2x = 0 + 17

Combine like terms: 0 + 17 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

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