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

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


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

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

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

Solving
-7 + 4x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-7 + 4x + -9x = -12 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-7 + -5x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -5x = -12 + 0
-7 + -5x = -12

Add '7' to each side of the equation.
-7 + 7 + -5x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = -12 + 7
-5x = -12 + 7

Combine like terms: -12 + 7 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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