7x-13=3(x-5)

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Solution for 7x-13=3(x-5) equation:


Simplifying
7x + -13 = 3(x + -5)

Reorder the terms:
-13 + 7x = 3(x + -5)

Reorder the terms:
-13 + 7x = 3(-5 + x)
-13 + 7x = (-5 * 3 + x * 3)
-13 + 7x = (-15 + 3x)

Solving
-13 + 7x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-13 + 7x + -3x = -15 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-13 + 4x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + 4x = -15 + 0
-13 + 4x = -15

Add '13' to each side of the equation.
-13 + 13 + 4x = -15 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = -15 + 13
4x = -15 + 13

Combine like terms: -15 + 13 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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