7x-5(3x-4)+7=-13

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Solution for 7x-5(3x-4)+7=-13 equation:


Simplifying
7x + -5(3x + -4) + 7 = -13

Reorder the terms:
7x + -5(-4 + 3x) + 7 = -13
7x + (-4 * -5 + 3x * -5) + 7 = -13
7x + (20 + -15x) + 7 = -13

Reorder the terms:
20 + 7 + 7x + -15x = -13

Combine like terms: 20 + 7 = 27
27 + 7x + -15x = -13

Combine like terms: 7x + -15x = -8x
27 + -8x = -13

Solving
27 + -8x = -13

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -8x = -13 + -27

Combine like terms: 27 + -27 = 0
0 + -8x = -13 + -27
-8x = -13 + -27

Combine like terms: -13 + -27 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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