6(2x-1)-5=7(3-2x)-24

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Solution for 6(2x-1)-5=7(3-2x)-24 equation:


Simplifying
6(2x + -1) + -5 = 7(3 + -2x) + -24

Reorder the terms:
6(-1 + 2x) + -5 = 7(3 + -2x) + -24
(-1 * 6 + 2x * 6) + -5 = 7(3 + -2x) + -24
(-6 + 12x) + -5 = 7(3 + -2x) + -24

Reorder the terms:
-6 + -5 + 12x = 7(3 + -2x) + -24

Combine like terms: -6 + -5 = -11
-11 + 12x = 7(3 + -2x) + -24
-11 + 12x = (3 * 7 + -2x * 7) + -24
-11 + 12x = (21 + -14x) + -24

Reorder the terms:
-11 + 12x = 21 + -24 + -14x

Combine like terms: 21 + -24 = -3
-11 + 12x = -3 + -14x

Solving
-11 + 12x = -3 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-11 + 12x + 14x = -3 + -14x + 14x

Combine like terms: 12x + 14x = 26x
-11 + 26x = -3 + -14x + 14x

Combine like terms: -14x + 14x = 0
-11 + 26x = -3 + 0
-11 + 26x = -3

Add '11' to each side of the equation.
-11 + 11 + 26x = -3 + 11

Combine like terms: -11 + 11 = 0
0 + 26x = -3 + 11
26x = -3 + 11

Combine like terms: -3 + 11 = 8
26x = 8

Divide each side by '26'.
x = 0.3076923077

Simplifying
x = 0.3076923077

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