4(4x-3)=3(x-3)+15

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


Simplifying
4(4x + -3) = 3(x + -3) + 15

Reorder the terms:
4(-3 + 4x) = 3(x + -3) + 15
(-3 * 4 + 4x * 4) = 3(x + -3) + 15
(-12 + 16x) = 3(x + -3) + 15

Reorder the terms:
-12 + 16x = 3(-3 + x) + 15
-12 + 16x = (-3 * 3 + x * 3) + 15
-12 + 16x = (-9 + 3x) + 15

Reorder the terms:
-12 + 16x = -9 + 15 + 3x

Combine like terms: -9 + 15 = 6
-12 + 16x = 6 + 3x

Solving
-12 + 16x = 6 + 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.
-12 + 16x + -3x = 6 + 3x + -3x

Combine like terms: 16x + -3x = 13x
-12 + 13x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 13x = 6 + 0
-12 + 13x = 6

Add '12' to each side of the equation.
-12 + 12 + 13x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 13x = 6 + 12
13x = 6 + 12

Combine like terms: 6 + 12 = 18
13x = 18

Divide each side by '13'.
x = 1.384615385

Simplifying
x = 1.384615385

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