2(4x-6)-5(x-7)=24

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Solution for 2(4x-6)-5(x-7)=24 equation:


Simplifying
2(4x + -6) + -5(x + -7) = 24

Reorder the terms:
2(-6 + 4x) + -5(x + -7) = 24
(-6 * 2 + 4x * 2) + -5(x + -7) = 24
(-12 + 8x) + -5(x + -7) = 24

Reorder the terms:
-12 + 8x + -5(-7 + x) = 24
-12 + 8x + (-7 * -5 + x * -5) = 24
-12 + 8x + (35 + -5x) = 24

Reorder the terms:
-12 + 35 + 8x + -5x = 24

Combine like terms: -12 + 35 = 23
23 + 8x + -5x = 24

Combine like terms: 8x + -5x = 3x
23 + 3x = 24

Solving
23 + 3x = 24

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 3x = 24 + -23

Combine like terms: 23 + -23 = 0
0 + 3x = 24 + -23
3x = 24 + -23

Combine like terms: 24 + -23 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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