6+8(x-7)=4-2(x-7)

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Solution for 6+8(x-7)=4-2(x-7) equation: 


Simplifying
6 + 8(x + -7) = 4 + -2(x + -7)

Reorder the terms:
6 + 8(-7 + x) = 4 + -2(x + -7)
6 + (-7 * 8 + x * 8) = 4 + -2(x + -7)
6 + (-56 + 8x) = 4 + -2(x + -7)

Combine like terms: 6 + -56 = -50
-50 + 8x = 4 + -2(x + -7)

Reorder the terms:
-50 + 8x = 4 + -2(-7 + x)
-50 + 8x = 4 + (-7 * -2 + x * -2)
-50 + 8x = 4 + (14 + -2x)

Combine like terms: 4 + 14 = 18
-50 + 8x = 18 + -2x

Solving
-50 + 8x = 18 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-50 + 8x + 2x = 18 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-50 + 10x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
-50 + 10x = 18 + 0
-50 + 10x = 18

Add '50' to each side of the equation.
-50 + 50 + 10x = 18 + 50

Combine like terms: -50 + 50 = 0
0 + 10x = 18 + 50
10x = 18 + 50

Combine like terms: 18 + 50 = 68
10x = 68

Divide each side by '10'.
x = 6.8

Simplifying
x = 6.8

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