6(4x-5)=7(x-2)-11

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Solution for 6(4x-5)=7(x-2)-11 equation:


Simplifying
6(4x + -5) = 7(x + -2) + -11

Reorder the terms:
6(-5 + 4x) = 7(x + -2) + -11
(-5 * 6 + 4x * 6) = 7(x + -2) + -11
(-30 + 24x) = 7(x + -2) + -11

Reorder the terms:
-30 + 24x = 7(-2 + x) + -11
-30 + 24x = (-2 * 7 + x * 7) + -11
-30 + 24x = (-14 + 7x) + -11

Reorder the terms:
-30 + 24x = -14 + -11 + 7x

Combine like terms: -14 + -11 = -25
-30 + 24x = -25 + 7x

Solving
-30 + 24x = -25 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-30 + 24x + -7x = -25 + 7x + -7x

Combine like terms: 24x + -7x = 17x
-30 + 17x = -25 + 7x + -7x

Combine like terms: 7x + -7x = 0
-30 + 17x = -25 + 0
-30 + 17x = -25

Add '30' to each side of the equation.
-30 + 30 + 17x = -25 + 30

Combine like terms: -30 + 30 = 0
0 + 17x = -25 + 30
17x = -25 + 30

Combine like terms: -25 + 30 = 5
17x = 5

Divide each side by '17'.
x = 0.2941176471

Simplifying
x = 0.2941176471

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