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

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


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

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

Combine like terms: 7 + 12 = 19
19 + -3x = 5x + 3

Reorder the terms:
19 + -3x = 3 + 5x

Solving
19 + -3x = 3 + 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 + -3x + -5x = 3 + 5x + -5x

Combine like terms: -3x + -5x = -8x
19 + -8x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -8x = 3 + 0
19 + -8x = 3

Add '-19' to each side of the equation.
19 + -19 + -8x = 3 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = 3 + -19
-8x = 3 + -19

Combine like terms: 3 + -19 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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