13=4x+3(x-5)

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Solution for 13=4x+3(x-5) equation:


Simplifying
13 = 4x + 3(x + -5)

Reorder the terms:
13 = 4x + 3(-5 + x)
13 = 4x + (-5 * 3 + x * 3)
13 = 4x + (-15 + 3x)

Reorder the terms:
13 = -15 + 4x + 3x

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

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

Combine like terms: 7x + -7x = 0
13 + -7x = -15 + 0
13 + -7x = -15

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

Combine like terms: 13 + -13 = 0
0 + -7x = -15 + -13
-7x = -15 + -13

Combine like terms: -15 + -13 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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