-5x+6(4x-3)=8-(2x+1)

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Solution for -5x+6(4x-3)=8-(2x+1) equation:


Simplifying
-5x + 6(4x + -3) = 8 + -1(2x + 1)

Reorder the terms:
-5x + 6(-3 + 4x) = 8 + -1(2x + 1)
-5x + (-3 * 6 + 4x * 6) = 8 + -1(2x + 1)
-5x + (-18 + 24x) = 8 + -1(2x + 1)

Reorder the terms:
-18 + -5x + 24x = 8 + -1(2x + 1)

Combine like terms: -5x + 24x = 19x
-18 + 19x = 8 + -1(2x + 1)

Reorder the terms:
-18 + 19x = 8 + -1(1 + 2x)
-18 + 19x = 8 + (1 * -1 + 2x * -1)
-18 + 19x = 8 + (-1 + -2x)

Combine like terms: 8 + -1 = 7
-18 + 19x = 7 + -2x

Solving
-18 + 19x = 7 + -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.
-18 + 19x + 2x = 7 + -2x + 2x

Combine like terms: 19x + 2x = 21x
-18 + 21x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 21x = 7 + 0
-18 + 21x = 7

Add '18' to each side of the equation.
-18 + 18 + 21x = 7 + 18

Combine like terms: -18 + 18 = 0
0 + 21x = 7 + 18
21x = 7 + 18

Combine like terms: 7 + 18 = 25
21x = 25

Divide each side by '21'.
x = 1.19047619

Simplifying
x = 1.19047619

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