4(2x-7)=3(4x-9)

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Solution for 4(2x-7)=3(4x-9) equation:


Simplifying
4(2x + -7) = 3(4x + -9)

Reorder the terms:
4(-7 + 2x) = 3(4x + -9)
(-7 * 4 + 2x * 4) = 3(4x + -9)
(-28 + 8x) = 3(4x + -9)

Reorder the terms:
-28 + 8x = 3(-9 + 4x)
-28 + 8x = (-9 * 3 + 4x * 3)
-28 + 8x = (-27 + 12x)

Solving
-28 + 8x = -27 + 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.
-28 + 8x + -12x = -27 + 12x + -12x

Combine like terms: 8x + -12x = -4x
-28 + -4x = -27 + 12x + -12x

Combine like terms: 12x + -12x = 0
-28 + -4x = -27 + 0
-28 + -4x = -27

Add '28' to each side of the equation.
-28 + 28 + -4x = -27 + 28

Combine like terms: -28 + 28 = 0
0 + -4x = -27 + 28
-4x = -27 + 28

Combine like terms: -27 + 28 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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