7+8(x-5)=10-3(x-4)

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Solution for 7+8(x-5)=10-3(x-4) equation:


Simplifying
7 + 8(x + -5) = 10 + -3(x + -4)

Reorder the terms:
7 + 8(-5 + x) = 10 + -3(x + -4)
7 + (-5 * 8 + x * 8) = 10 + -3(x + -4)
7 + (-40 + 8x) = 10 + -3(x + -4)

Combine like terms: 7 + -40 = -33
-33 + 8x = 10 + -3(x + -4)

Reorder the terms:
-33 + 8x = 10 + -3(-4 + x)
-33 + 8x = 10 + (-4 * -3 + x * -3)
-33 + 8x = 10 + (12 + -3x)

Combine like terms: 10 + 12 = 22
-33 + 8x = 22 + -3x

Solving
-33 + 8x = 22 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-33 + 8x + 3x = 22 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-33 + 11x = 22 + -3x + 3x

Combine like terms: -3x + 3x = 0
-33 + 11x = 22 + 0
-33 + 11x = 22

Add '33' to each side of the equation.
-33 + 33 + 11x = 22 + 33

Combine like terms: -33 + 33 = 0
0 + 11x = 22 + 33
11x = 22 + 33

Combine like terms: 22 + 33 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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