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

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


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

Reorder the terms:
1 + 4(-4 + x) = 3 + -2(x + -3)
1 + (-4 * 4 + x * 4) = 3 + -2(x + -3)
1 + (-16 + 4x) = 3 + -2(x + -3)

Combine like terms: 1 + -16 = -15
-15 + 4x = 3 + -2(x + -3)

Reorder the terms:
-15 + 4x = 3 + -2(-3 + x)
-15 + 4x = 3 + (-3 * -2 + x * -2)
-15 + 4x = 3 + (6 + -2x)

Combine like terms: 3 + 6 = 9
-15 + 4x = 9 + -2x

Solving
-15 + 4x = 9 + -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.
-15 + 4x + 2x = 9 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-15 + 6x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 6x = 9 + 0
-15 + 6x = 9

Add '15' to each side of the equation.
-15 + 15 + 6x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = 9 + 15
6x = 9 + 15

Combine like terms: 9 + 15 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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