15-2(x+3)=14(x+5)-43

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Solution for 15-2(x+3)=14(x+5)-43 equation:


Simplifying
15 + -2(x + 3) = 14(x + 5) + -43

Reorder the terms:
15 + -2(3 + x) = 14(x + 5) + -43
15 + (3 * -2 + x * -2) = 14(x + 5) + -43
15 + (-6 + -2x) = 14(x + 5) + -43

Combine like terms: 15 + -6 = 9
9 + -2x = 14(x + 5) + -43

Reorder the terms:
9 + -2x = 14(5 + x) + -43
9 + -2x = (5 * 14 + x * 14) + -43
9 + -2x = (70 + 14x) + -43

Reorder the terms:
9 + -2x = 70 + -43 + 14x

Combine like terms: 70 + -43 = 27
9 + -2x = 27 + 14x

Solving
9 + -2x = 27 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
9 + -2x + -14x = 27 + 14x + -14x

Combine like terms: -2x + -14x = -16x
9 + -16x = 27 + 14x + -14x

Combine like terms: 14x + -14x = 0
9 + -16x = 27 + 0
9 + -16x = 27

Add '-9' to each side of the equation.
9 + -9 + -16x = 27 + -9

Combine like terms: 9 + -9 = 0
0 + -16x = 27 + -9
-16x = 27 + -9

Combine like terms: 27 + -9 = 18
-16x = 18

Divide each side by '-16'.
x = -1.125

Simplifying
x = -1.125

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