-7(x+1)=5(x-2)

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Solution for -7(x+1)=5(x-2) equation:


Simplifying
-7(x + 1) = 5(x + -2)

Reorder the terms:
-7(1 + x) = 5(x + -2)
(1 * -7 + x * -7) = 5(x + -2)
(-7 + -7x) = 5(x + -2)

Reorder the terms:
-7 + -7x = 5(-2 + x)
-7 + -7x = (-2 * 5 + x * 5)
-7 + -7x = (-10 + 5x)

Solving
-7 + -7x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + -7x + -5x = -10 + 5x + -5x

Combine like terms: -7x + -5x = -12x
-7 + -12x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -12x = -10 + 0
-7 + -12x = -10

Add '7' to each side of the equation.
-7 + 7 + -12x = -10 + 7

Combine like terms: -7 + 7 = 0
0 + -12x = -10 + 7
-12x = -10 + 7

Combine like terms: -10 + 7 = -3
-12x = -3

Divide each side by '-12'.
x = 0.25

Simplifying
x = 0.25

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