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

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


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

Reorder the terms:
4(-5 + x) + 3 = 3x + -2
(-5 * 4 + x * 4) + 3 = 3x + -2
(-20 + 4x) + 3 = 3x + -2

Reorder the terms:
-20 + 3 + 4x = 3x + -2

Combine like terms: -20 + 3 = -17
-17 + 4x = 3x + -2

Reorder the terms:
-17 + 4x = -2 + 3x

Solving
-17 + 4x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-17 + 4x + -3x = -2 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-17 + 1x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 1x = -2 + 0
-17 + 1x = -2

Add '17' to each side of the equation.
-17 + 17 + 1x = -2 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = -2 + 17
1x = -2 + 17

Combine like terms: -2 + 17 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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