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

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


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

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

Combine like terms: 7x + 2x = 9x
-70 + 9x = 8(x + -5) + -5

Reorder the terms:
-70 + 9x = 8(-5 + x) + -5
-70 + 9x = (-5 * 8 + x * 8) + -5
-70 + 9x = (-40 + 8x) + -5

Reorder the terms:
-70 + 9x = -40 + -5 + 8x

Combine like terms: -40 + -5 = -45
-70 + 9x = -45 + 8x

Solving
-70 + 9x = -45 + 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 + 9x + -8x = -45 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-70 + 1x = -45 + 8x + -8x

Combine like terms: 8x + -8x = 0
-70 + 1x = -45 + 0
-70 + 1x = -45

Add '70' to each side of the equation.
-70 + 70 + 1x = -45 + 70

Combine like terms: -70 + 70 = 0
0 + 1x = -45 + 70
1x = -45 + 70

Combine like terms: -45 + 70 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25

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