28+36+6(-7x+x)=2(5x-6)

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Solution for 28+36+6(-7x+x)=2(5x-6) equation:


Simplifying
28 + 36 + 6(-7x + x) = 2(5x + -6)

Combine like terms: -7x + x = -6x
28 + 36 + 6(-6x) = 2(5x + -6)

Remove parenthesis around (-6x)
28 + 36 + 6 * -6x = 2(5x + -6)

Multiply 6 * -6
28 + 36 + -36x = 2(5x + -6)

Combine like terms: 28 + 36 = 64
64 + -36x = 2(5x + -6)

Reorder the terms:
64 + -36x = 2(-6 + 5x)
64 + -36x = (-6 * 2 + 5x * 2)
64 + -36x = (-12 + 10x)

Solving
64 + -36x = -12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
64 + -36x + -10x = -12 + 10x + -10x

Combine like terms: -36x + -10x = -46x
64 + -46x = -12 + 10x + -10x

Combine like terms: 10x + -10x = 0
64 + -46x = -12 + 0
64 + -46x = -12

Add '-64' to each side of the equation.
64 + -64 + -46x = -12 + -64

Combine like terms: 64 + -64 = 0
0 + -46x = -12 + -64
-46x = -12 + -64

Combine like terms: -12 + -64 = -76
-46x = -76

Divide each side by '-46'.
x = 1.652173913

Simplifying
x = 1.652173913

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