7(x-9)=-8(x+1)+5

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Solution for 7(x-9)=-8(x+1)+5 equation:


Simplifying
7(x + -9) = -8(x + 1) + 5

Reorder the terms:
7(-9 + x) = -8(x + 1) + 5
(-9 * 7 + x * 7) = -8(x + 1) + 5
(-63 + 7x) = -8(x + 1) + 5

Reorder the terms:
-63 + 7x = -8(1 + x) + 5
-63 + 7x = (1 * -8 + x * -8) + 5
-63 + 7x = (-8 + -8x) + 5

Reorder the terms:
-63 + 7x = -8 + 5 + -8x

Combine like terms: -8 + 5 = -3
-63 + 7x = -3 + -8x

Solving
-63 + 7x = -3 + -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.
-63 + 7x + 8x = -3 + -8x + 8x

Combine like terms: 7x + 8x = 15x
-63 + 15x = -3 + -8x + 8x

Combine like terms: -8x + 8x = 0
-63 + 15x = -3 + 0
-63 + 15x = -3

Add '63' to each side of the equation.
-63 + 63 + 15x = -3 + 63

Combine like terms: -63 + 63 = 0
0 + 15x = -3 + 63
15x = -3 + 63

Combine like terms: -3 + 63 = 60
15x = 60

Divide each side by '15'.
x = 4

Simplifying
x = 4

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