5(x-3)-2(x-7)=

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Solution for 5(x-3)-2(x-7)= equation:


Simplifying
5(x + -3) + -2(x + -7) = 0

Reorder the terms:
5(-3 + x) + -2(x + -7) = 0
(-3 * 5 + x * 5) + -2(x + -7) = 0
(-15 + 5x) + -2(x + -7) = 0

Reorder the terms:
-15 + 5x + -2(-7 + x) = 0
-15 + 5x + (-7 * -2 + x * -2) = 0
-15 + 5x + (14 + -2x) = 0

Reorder the terms:
-15 + 14 + 5x + -2x = 0

Combine like terms: -15 + 14 = -1
-1 + 5x + -2x = 0

Combine like terms: 5x + -2x = 3x
-1 + 3x = 0

Solving
-1 + 3x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 0 + 1
3x = 0 + 1

Combine like terms: 0 + 1 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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