4(x-5)+3x+1=2(x-2)+15(x-3)

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Solution for 4(x-5)+3x+1=2(x-2)+15(x-3) equation:


Simplifying
4(x + -5) + 3x + 1 = 2(x + -2) + 15(x + -3)

Reorder the terms:
4(-5 + x) + 3x + 1 = 2(x + -2) + 15(x + -3)
(-5 * 4 + x * 4) + 3x + 1 = 2(x + -2) + 15(x + -3)
(-20 + 4x) + 3x + 1 = 2(x + -2) + 15(x + -3)

Reorder the terms:
-20 + 1 + 4x + 3x = 2(x + -2) + 15(x + -3)

Combine like terms: -20 + 1 = -19
-19 + 4x + 3x = 2(x + -2) + 15(x + -3)

Combine like terms: 4x + 3x = 7x
-19 + 7x = 2(x + -2) + 15(x + -3)

Reorder the terms:
-19 + 7x = 2(-2 + x) + 15(x + -3)
-19 + 7x = (-2 * 2 + x * 2) + 15(x + -3)
-19 + 7x = (-4 + 2x) + 15(x + -3)

Reorder the terms:
-19 + 7x = -4 + 2x + 15(-3 + x)
-19 + 7x = -4 + 2x + (-3 * 15 + x * 15)
-19 + 7x = -4 + 2x + (-45 + 15x)

Reorder the terms:
-19 + 7x = -4 + -45 + 2x + 15x

Combine like terms: -4 + -45 = -49
-19 + 7x = -49 + 2x + 15x

Combine like terms: 2x + 15x = 17x
-19 + 7x = -49 + 17x

Solving
-19 + 7x = -49 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-19 + 7x + -17x = -49 + 17x + -17x

Combine like terms: 7x + -17x = -10x
-19 + -10x = -49 + 17x + -17x

Combine like terms: 17x + -17x = 0
-19 + -10x = -49 + 0
-19 + -10x = -49

Add '19' to each side of the equation.
-19 + 19 + -10x = -49 + 19

Combine like terms: -19 + 19 = 0
0 + -10x = -49 + 19
-10x = -49 + 19

Combine like terms: -49 + 19 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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