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

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


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

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

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

Solving
-28 + 4x = -27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-28 + 4x + -3x = -27 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-28 + 1x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 1x = -27 + 0
-28 + 1x = -27

Add '28' to each side of the equation.
-28 + 28 + 1x = -27 + 28

Combine like terms: -28 + 28 = 0
0 + 1x = -27 + 28
1x = -27 + 28

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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