4(2x+1)-7(-x+4)=18

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Solution for 4(2x+1)-7(-x+4)=18 equation:


Simplifying
4(2x + 1) + -7(-1x + 4) = 18

Reorder the terms:
4(1 + 2x) + -7(-1x + 4) = 18
(1 * 4 + 2x * 4) + -7(-1x + 4) = 18
(4 + 8x) + -7(-1x + 4) = 18

Reorder the terms:
4 + 8x + -7(4 + -1x) = 18
4 + 8x + (4 * -7 + -1x * -7) = 18
4 + 8x + (-28 + 7x) = 18

Reorder the terms:
4 + -28 + 8x + 7x = 18

Combine like terms: 4 + -28 = -24
-24 + 8x + 7x = 18

Combine like terms: 8x + 7x = 15x
-24 + 15x = 18

Solving
-24 + 15x = 18

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 15x = 18 + 24

Combine like terms: -24 + 24 = 0
0 + 15x = 18 + 24
15x = 18 + 24

Combine like terms: 18 + 24 = 42
15x = 42

Divide each side by '15'.
x = 2.8

Simplifying
x = 2.8

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