7-4(x-3)=5x-2

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Solution for 7-4(x-3)=5x-2 equation:


Simplifying
7 + -4(x + -3) = 5x + -2

Reorder the terms:
7 + -4(-3 + x) = 5x + -2
7 + (-3 * -4 + x * -4) = 5x + -2
7 + (12 + -4x) = 5x + -2

Combine like terms: 7 + 12 = 19
19 + -4x = 5x + -2

Reorder the terms:
19 + -4x = -2 + 5x

Solving
19 + -4x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
19 + -4x + -5x = -2 + 5x + -5x

Combine like terms: -4x + -5x = -9x
19 + -9x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -9x = -2 + 0
19 + -9x = -2

Add '-19' to each side of the equation.
19 + -19 + -9x = -2 + -19

Combine like terms: 19 + -19 = 0
0 + -9x = -2 + -19
-9x = -2 + -19

Combine like terms: -2 + -19 = -21
-9x = -21

Divide each side by '-9'.
x = 2.333333333

Simplifying
x = 2.333333333

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