8(4x-5)=7(x+3)-18

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Solution for 8(4x-5)=7(x+3)-18 equation:


Simplifying
8(4x + -5) = 7(x + 3) + -18

Reorder the terms:
8(-5 + 4x) = 7(x + 3) + -18
(-5 * 8 + 4x * 8) = 7(x + 3) + -18
(-40 + 32x) = 7(x + 3) + -18

Reorder the terms:
-40 + 32x = 7(3 + x) + -18
-40 + 32x = (3 * 7 + x * 7) + -18
-40 + 32x = (21 + 7x) + -18

Reorder the terms:
-40 + 32x = 21 + -18 + 7x

Combine like terms: 21 + -18 = 3
-40 + 32x = 3 + 7x

Solving
-40 + 32x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-40 + 32x + -7x = 3 + 7x + -7x

Combine like terms: 32x + -7x = 25x
-40 + 25x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-40 + 25x = 3 + 0
-40 + 25x = 3

Add '40' to each side of the equation.
-40 + 40 + 25x = 3 + 40

Combine like terms: -40 + 40 = 0
0 + 25x = 3 + 40
25x = 3 + 40

Combine like terms: 3 + 40 = 43
25x = 43

Divide each side by '25'.
x = 1.72

Simplifying
x = 1.72

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