14x-(25x-18)=34x-(15x-30)+18

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Solution for 14x-(25x-18)=34x-(15x-30)+18 equation:


Simplifying
14x + -1(25x + -18) = 34x + -1(15x + -30) + 18

Reorder the terms:
14x + -1(-18 + 25x) = 34x + -1(15x + -30) + 18
14x + (-18 * -1 + 25x * -1) = 34x + -1(15x + -30) + 18
14x + (18 + -25x) = 34x + -1(15x + -30) + 18

Reorder the terms:
18 + 14x + -25x = 34x + -1(15x + -30) + 18

Combine like terms: 14x + -25x = -11x
18 + -11x = 34x + -1(15x + -30) + 18

Reorder the terms:
18 + -11x = 34x + -1(-30 + 15x) + 18
18 + -11x = 34x + (-30 * -1 + 15x * -1) + 18
18 + -11x = 34x + (30 + -15x) + 18

Reorder the terms:
18 + -11x = 30 + 18 + 34x + -15x

Combine like terms: 30 + 18 = 48
18 + -11x = 48 + 34x + -15x

Combine like terms: 34x + -15x = 19x
18 + -11x = 48 + 19x

Solving
18 + -11x = 48 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
18 + -11x + -19x = 48 + 19x + -19x

Combine like terms: -11x + -19x = -30x
18 + -30x = 48 + 19x + -19x

Combine like terms: 19x + -19x = 0
18 + -30x = 48 + 0
18 + -30x = 48

Add '-18' to each side of the equation.
18 + -18 + -30x = 48 + -18

Combine like terms: 18 + -18 = 0
0 + -30x = 48 + -18
-30x = 48 + -18

Combine like terms: 48 + -18 = 30
-30x = 30

Divide each side by '-30'.
x = -1

Simplifying
x = -1

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