10-2(x+4)=16(x+3)-25

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Solution for 10-2(x+4)=16(x+3)-25 equation:


Simplifying
10 + -2(x + 4) = 16(x + 3) + -25

Reorder the terms:
10 + -2(4 + x) = 16(x + 3) + -25
10 + (4 * -2 + x * -2) = 16(x + 3) + -25
10 + (-8 + -2x) = 16(x + 3) + -25

Combine like terms: 10 + -8 = 2
2 + -2x = 16(x + 3) + -25

Reorder the terms:
2 + -2x = 16(3 + x) + -25
2 + -2x = (3 * 16 + x * 16) + -25
2 + -2x = (48 + 16x) + -25

Reorder the terms:
2 + -2x = 48 + -25 + 16x

Combine like terms: 48 + -25 = 23
2 + -2x = 23 + 16x

Solving
2 + -2x = 23 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
2 + -2x + -16x = 23 + 16x + -16x

Combine like terms: -2x + -16x = -18x
2 + -18x = 23 + 16x + -16x

Combine like terms: 16x + -16x = 0
2 + -18x = 23 + 0
2 + -18x = 23

Add '-2' to each side of the equation.
2 + -2 + -18x = 23 + -2

Combine like terms: 2 + -2 = 0
0 + -18x = 23 + -2
-18x = 23 + -2

Combine like terms: 23 + -2 = 21
-18x = 21

Divide each side by '-18'.
x = -1.166666667

Simplifying
x = -1.166666667

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