4x+9-14x=3(4x-7)

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Solution for 4x+9-14x=3(4x-7) equation:


Simplifying
4x + 9 + -14x = 3(4x + -7)

Reorder the terms:
9 + 4x + -14x = 3(4x + -7)

Combine like terms: 4x + -14x = -10x
9 + -10x = 3(4x + -7)

Reorder the terms:
9 + -10x = 3(-7 + 4x)
9 + -10x = (-7 * 3 + 4x * 3)
9 + -10x = (-21 + 12x)

Solving
9 + -10x = -21 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
9 + -10x + -12x = -21 + 12x + -12x

Combine like terms: -10x + -12x = -22x
9 + -22x = -21 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -22x = -21 + 0
9 + -22x = -21

Add '-9' to each side of the equation.
9 + -9 + -22x = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -22x = -21 + -9
-22x = -21 + -9

Combine like terms: -21 + -9 = -30
-22x = -30

Divide each side by '-22'.
x = 1.363636364

Simplifying
x = 1.363636364

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