5(x-3)-4=2(x-1)+7

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Solution for 5(x-3)-4=2(x-1)+7 equation:


Simplifying
5(x + -3) + -4 = 2(x + -1) + 7

Reorder the terms:
5(-3 + x) + -4 = 2(x + -1) + 7
(-3 * 5 + x * 5) + -4 = 2(x + -1) + 7
(-15 + 5x) + -4 = 2(x + -1) + 7

Reorder the terms:
-15 + -4 + 5x = 2(x + -1) + 7

Combine like terms: -15 + -4 = -19
-19 + 5x = 2(x + -1) + 7

Reorder the terms:
-19 + 5x = 2(-1 + x) + 7
-19 + 5x = (-1 * 2 + x * 2) + 7
-19 + 5x = (-2 + 2x) + 7

Reorder the terms:
-19 + 5x = -2 + 7 + 2x

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

Solving
-19 + 5x = 5 + 2x

Solving for variable 'x'.

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

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

Combine like terms: 5x + -2x = 3x
-19 + 3x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-19 + 3x = 5 + 0
-19 + 3x = 5

Add '19' to each side of the equation.
-19 + 19 + 3x = 5 + 19

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

Combine like terms: 5 + 19 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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