7(x-2)+8(x-3)-22=x+10

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Solution for 7(x-2)+8(x-3)-22=x+10 equation:


Simplifying
7(x + -2) + 8(x + -3) + -22 = x + 10

Reorder the terms:
7(-2 + x) + 8(x + -3) + -22 = x + 10
(-2 * 7 + x * 7) + 8(x + -3) + -22 = x + 10
(-14 + 7x) + 8(x + -3) + -22 = x + 10

Reorder the terms:
-14 + 7x + 8(-3 + x) + -22 = x + 10
-14 + 7x + (-3 * 8 + x * 8) + -22 = x + 10
-14 + 7x + (-24 + 8x) + -22 = x + 10

Reorder the terms:
-14 + -24 + -22 + 7x + 8x = x + 10

Combine like terms: -14 + -24 = -38
-38 + -22 + 7x + 8x = x + 10

Combine like terms: -38 + -22 = -60
-60 + 7x + 8x = x + 10

Combine like terms: 7x + 8x = 15x
-60 + 15x = x + 10

Reorder the terms:
-60 + 15x = 10 + x

Solving
-60 + 15x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-60 + 15x + -1x = 10 + x + -1x

Combine like terms: 15x + -1x = 14x
-60 + 14x = 10 + x + -1x

Combine like terms: x + -1x = 0
-60 + 14x = 10 + 0
-60 + 14x = 10

Add '60' to each side of the equation.
-60 + 60 + 14x = 10 + 60

Combine like terms: -60 + 60 = 0
0 + 14x = 10 + 60
14x = 10 + 60

Combine like terms: 10 + 60 = 70
14x = 70

Divide each side by '14'.
x = 5

Simplifying
x = 5

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