8-(6x-7)=19-2(24-2x)

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Solution for 8-(6x-7)=19-2(24-2x) equation:


Simplifying
8 + -1(6x + -7) = 19 + -2(24 + -2x)

Reorder the terms:
8 + -1(-7 + 6x) = 19 + -2(24 + -2x)
8 + (-7 * -1 + 6x * -1) = 19 + -2(24 + -2x)
8 + (7 + -6x) = 19 + -2(24 + -2x)

Combine like terms: 8 + 7 = 15
15 + -6x = 19 + -2(24 + -2x)
15 + -6x = 19 + (24 * -2 + -2x * -2)
15 + -6x = 19 + (-48 + 4x)

Combine like terms: 19 + -48 = -29
15 + -6x = -29 + 4x

Solving
15 + -6x = -29 + 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.
15 + -6x + -4x = -29 + 4x + -4x

Combine like terms: -6x + -4x = -10x
15 + -10x = -29 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -10x = -29 + 0
15 + -10x = -29

Add '-15' to each side of the equation.
15 + -15 + -10x = -29 + -15

Combine like terms: 15 + -15 = 0
0 + -10x = -29 + -15
-10x = -29 + -15

Combine like terms: -29 + -15 = -44
-10x = -44

Divide each side by '-10'.
x = 4.4

Simplifying
x = 4.4

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