2-4(x+5)=7x-7

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Solution for 2-4(x+5)=7x-7 equation:


Simplifying
2 + -4(x + 5) = 7x + -7

Reorder the terms:
2 + -4(5 + x) = 7x + -7
2 + (5 * -4 + x * -4) = 7x + -7
2 + (-20 + -4x) = 7x + -7

Combine like terms: 2 + -20 = -18
-18 + -4x = 7x + -7

Reorder the terms:
-18 + -4x = -7 + 7x

Solving
-18 + -4x = -7 + 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.
-18 + -4x + -7x = -7 + 7x + -7x

Combine like terms: -4x + -7x = -11x
-18 + -11x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + -11x = -7 + 0
-18 + -11x = -7

Add '18' to each side of the equation.
-18 + 18 + -11x = -7 + 18

Combine like terms: -18 + 18 = 0
0 + -11x = -7 + 18
-11x = -7 + 18

Combine like terms: -7 + 18 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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