-7(x-3)=8-(2x-11)

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Solution for -7(x-3)=8-(2x-11) equation:


Simplifying
-7(x + -3) = 8 + -1(2x + -11)

Reorder the terms:
-7(-3 + x) = 8 + -1(2x + -11)
(-3 * -7 + x * -7) = 8 + -1(2x + -11)
(21 + -7x) = 8 + -1(2x + -11)

Reorder the terms:
21 + -7x = 8 + -1(-11 + 2x)
21 + -7x = 8 + (-11 * -1 + 2x * -1)
21 + -7x = 8 + (11 + -2x)

Combine like terms: 8 + 11 = 19
21 + -7x = 19 + -2x

Solving
21 + -7x = 19 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
21 + -7x + 2x = 19 + -2x + 2x

Combine like terms: -7x + 2x = -5x
21 + -5x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + -5x = 19 + 0
21 + -5x = 19

Add '-21' to each side of the equation.
21 + -21 + -5x = 19 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 19 + -21
-5x = 19 + -21

Combine like terms: 19 + -21 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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