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

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


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

Reorder the terms:
2(-4 + x) + 3(5 + -3x) = 4
(-4 * 2 + x * 2) + 3(5 + -3x) = 4
(-8 + 2x) + 3(5 + -3x) = 4
-8 + 2x + (5 * 3 + -3x * 3) = 4
-8 + 2x + (15 + -9x) = 4

Reorder the terms:
-8 + 15 + 2x + -9x = 4

Combine like terms: -8 + 15 = 7
7 + 2x + -9x = 4

Combine like terms: 2x + -9x = -7x
7 + -7x = 4

Solving
7 + -7x = 4

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -7x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = 4 + -7
-7x = 4 + -7

Combine like terms: 4 + -7 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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