7(x-10)-2x=8(5-x)-6

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Solution for 7(x-10)-2x=8(5-x)-6 equation:


Simplifying
7(x + -10) + -2x = 8(5 + -1x) + -6

Reorder the terms:
7(-10 + x) + -2x = 8(5 + -1x) + -6
(-10 * 7 + x * 7) + -2x = 8(5 + -1x) + -6
(-70 + 7x) + -2x = 8(5 + -1x) + -6

Combine like terms: 7x + -2x = 5x
-70 + 5x = 8(5 + -1x) + -6
-70 + 5x = (5 * 8 + -1x * 8) + -6
-70 + 5x = (40 + -8x) + -6

Reorder the terms:
-70 + 5x = 40 + -6 + -8x

Combine like terms: 40 + -6 = 34
-70 + 5x = 34 + -8x

Solving
-70 + 5x = 34 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-70 + 5x + 8x = 34 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-70 + 13x = 34 + -8x + 8x

Combine like terms: -8x + 8x = 0
-70 + 13x = 34 + 0
-70 + 13x = 34

Add '70' to each side of the equation.
-70 + 70 + 13x = 34 + 70

Combine like terms: -70 + 70 = 0
0 + 13x = 34 + 70
13x = 34 + 70

Combine like terms: 34 + 70 = 104
13x = 104

Divide each side by '13'.
x = 8

Simplifying
x = 8

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