7(x-5)=-4x-13

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Solution for 7(x-5)=-4x-13 equation:


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

Reorder the terms:
7(-5 + x) = -4x + -13
(-5 * 7 + x * 7) = -4x + -13
(-35 + 7x) = -4x + -13

Reorder the terms:
-35 + 7x = -13 + -4x

Solving
-35 + 7x = -13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-35 + 7x + 4x = -13 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-35 + 11x = -13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-35 + 11x = -13 + 0
-35 + 11x = -13

Add '35' to each side of the equation.
-35 + 35 + 11x = -13 + 35

Combine like terms: -35 + 35 = 0
0 + 11x = -13 + 35
11x = -13 + 35

Combine like terms: -13 + 35 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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