-6(x-7)+4(4x+2)=9(x+8)-10

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Solution for -6(x-7)+4(4x+2)=9(x+8)-10 equation:


Simplifying
-6(x + -7) + 4(4x + 2) = 9(x + 8) + -10

Reorder the terms:
-6(-7 + x) + 4(4x + 2) = 9(x + 8) + -10
(-7 * -6 + x * -6) + 4(4x + 2) = 9(x + 8) + -10
(42 + -6x) + 4(4x + 2) = 9(x + 8) + -10

Reorder the terms:
42 + -6x + 4(2 + 4x) = 9(x + 8) + -10
42 + -6x + (2 * 4 + 4x * 4) = 9(x + 8) + -10
42 + -6x + (8 + 16x) = 9(x + 8) + -10

Reorder the terms:
42 + 8 + -6x + 16x = 9(x + 8) + -10

Combine like terms: 42 + 8 = 50
50 + -6x + 16x = 9(x + 8) + -10

Combine like terms: -6x + 16x = 10x
50 + 10x = 9(x + 8) + -10

Reorder the terms:
50 + 10x = 9(8 + x) + -10
50 + 10x = (8 * 9 + x * 9) + -10
50 + 10x = (72 + 9x) + -10

Reorder the terms:
50 + 10x = 72 + -10 + 9x

Combine like terms: 72 + -10 = 62
50 + 10x = 62 + 9x

Solving
50 + 10x = 62 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
50 + 10x + -9x = 62 + 9x + -9x

Combine like terms: 10x + -9x = 1x
50 + 1x = 62 + 9x + -9x

Combine like terms: 9x + -9x = 0
50 + 1x = 62 + 0
50 + 1x = 62

Add '-50' to each side of the equation.
50 + -50 + 1x = 62 + -50

Combine like terms: 50 + -50 = 0
0 + 1x = 62 + -50
1x = 62 + -50

Combine like terms: 62 + -50 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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