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

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


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

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

Reorder the terms:
-9 + 3x = 4(-4 + x) + 7
-9 + 3x = (-4 * 4 + x * 4) + 7
-9 + 3x = (-16 + 4x) + 7

Reorder the terms:
-9 + 3x = -16 + 7 + 4x

Combine like terms: -16 + 7 = -9
-9 + 3x = -9 + 4x

Add '9' to each side of the equation.
-9 + 9 + 3x = -9 + 9 + 4x

Combine like terms: -9 + 9 = 0
0 + 3x = -9 + 9 + 4x
3x = -9 + 9 + 4x

Combine like terms: -9 + 9 = 0
3x = 0 + 4x
3x = 4x

Solving
3x = 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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