5+7(x-9)=4-8(x-5)

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Solution for 5+7(x-9)=4-8(x-5) equation:


Simplifying
5 + 7(x + -9) = 4 + -8(x + -5)

Reorder the terms:
5 + 7(-9 + x) = 4 + -8(x + -5)
5 + (-9 * 7 + x * 7) = 4 + -8(x + -5)
5 + (-63 + 7x) = 4 + -8(x + -5)

Combine like terms: 5 + -63 = -58
-58 + 7x = 4 + -8(x + -5)

Reorder the terms:
-58 + 7x = 4 + -8(-5 + x)
-58 + 7x = 4 + (-5 * -8 + x * -8)
-58 + 7x = 4 + (40 + -8x)

Combine like terms: 4 + 40 = 44
-58 + 7x = 44 + -8x

Solving
-58 + 7x = 44 + -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.
-58 + 7x + 8x = 44 + -8x + 8x

Combine like terms: 7x + 8x = 15x
-58 + 15x = 44 + -8x + 8x

Combine like terms: -8x + 8x = 0
-58 + 15x = 44 + 0
-58 + 15x = 44

Add '58' to each side of the equation.
-58 + 58 + 15x = 44 + 58

Combine like terms: -58 + 58 = 0
0 + 15x = 44 + 58
15x = 44 + 58

Combine like terms: 44 + 58 = 102
15x = 102

Divide each side by '15'.
x = 6.8

Simplifying
x = 6.8

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