3(9x-5)-2(8x-7)=14x-10

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Solution for 3(9x-5)-2(8x-7)=14x-10 equation:


Simplifying
3(9x + -5) + -2(8x + -7) = 14x + -10

Reorder the terms:
3(-5 + 9x) + -2(8x + -7) = 14x + -10
(-5 * 3 + 9x * 3) + -2(8x + -7) = 14x + -10
(-15 + 27x) + -2(8x + -7) = 14x + -10

Reorder the terms:
-15 + 27x + -2(-7 + 8x) = 14x + -10
-15 + 27x + (-7 * -2 + 8x * -2) = 14x + -10
-15 + 27x + (14 + -16x) = 14x + -10

Reorder the terms:
-15 + 14 + 27x + -16x = 14x + -10

Combine like terms: -15 + 14 = -1
-1 + 27x + -16x = 14x + -10

Combine like terms: 27x + -16x = 11x
-1 + 11x = 14x + -10

Reorder the terms:
-1 + 11x = -10 + 14x

Solving
-1 + 11x = -10 + 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.
-1 + 11x + -14x = -10 + 14x + -14x

Combine like terms: 11x + -14x = -3x
-1 + -3x = -10 + 14x + -14x

Combine like terms: 14x + -14x = 0
-1 + -3x = -10 + 0
-1 + -3x = -10

Add '1' to each side of the equation.
-1 + 1 + -3x = -10 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -10 + 1
-3x = -10 + 1

Combine like terms: -10 + 1 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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