5+2(3x-6)=4(6x-7)

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Solution for 5+2(3x-6)=4(6x-7) equation:


Simplifying
5 + 2(3x + -6) = 4(6x + -7)

Reorder the terms:
5 + 2(-6 + 3x) = 4(6x + -7)
5 + (-6 * 2 + 3x * 2) = 4(6x + -7)
5 + (-12 + 6x) = 4(6x + -7)

Combine like terms: 5 + -12 = -7
-7 + 6x = 4(6x + -7)

Reorder the terms:
-7 + 6x = 4(-7 + 6x)
-7 + 6x = (-7 * 4 + 6x * 4)
-7 + 6x = (-28 + 24x)

Solving
-7 + 6x = -28 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-7 + 6x + -24x = -28 + 24x + -24x

Combine like terms: 6x + -24x = -18x
-7 + -18x = -28 + 24x + -24x

Combine like terms: 24x + -24x = 0
-7 + -18x = -28 + 0
-7 + -18x = -28

Add '7' to each side of the equation.
-7 + 7 + -18x = -28 + 7

Combine like terms: -7 + 7 = 0
0 + -18x = -28 + 7
-18x = -28 + 7

Combine like terms: -28 + 7 = -21
-18x = -21

Divide each side by '-18'.
x = 1.166666667

Simplifying
x = 1.166666667

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