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

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


Simplifying
5(x + -3) + -1(3x + -7) = 0

Reorder the terms:
5(-3 + x) + -1(3x + -7) = 0
(-3 * 5 + x * 5) + -1(3x + -7) = 0
(-15 + 5x) + -1(3x + -7) = 0

Reorder the terms:
-15 + 5x + -1(-7 + 3x) = 0
-15 + 5x + (-7 * -1 + 3x * -1) = 0
-15 + 5x + (7 + -3x) = 0

Reorder the terms:
-15 + 7 + 5x + -3x = 0

Combine like terms: -15 + 7 = -8
-8 + 5x + -3x = 0

Combine like terms: 5x + -3x = 2x
-8 + 2x = 0

Solving
-8 + 2x = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 0 + 8
2x = 0 + 8

Combine like terms: 0 + 8 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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