35(2x-1)=4(x-4)+3x

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Solution for 35(2x-1)=4(x-4)+3x equation:


Simplifying
35(2x + -1) = 4(x + -4) + 3x

Reorder the terms:
35(-1 + 2x) = 4(x + -4) + 3x
(-1 * 35 + 2x * 35) = 4(x + -4) + 3x
(-35 + 70x) = 4(x + -4) + 3x

Reorder the terms:
-35 + 70x = 4(-4 + x) + 3x
-35 + 70x = (-4 * 4 + x * 4) + 3x
-35 + 70x = (-16 + 4x) + 3x

Combine like terms: 4x + 3x = 7x
-35 + 70x = -16 + 7x

Solving
-35 + 70x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-35 + 70x + -7x = -16 + 7x + -7x

Combine like terms: 70x + -7x = 63x
-35 + 63x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-35 + 63x = -16 + 0
-35 + 63x = -16

Add '35' to each side of the equation.
-35 + 35 + 63x = -16 + 35

Combine like terms: -35 + 35 = 0
0 + 63x = -16 + 35
63x = -16 + 35

Combine like terms: -16 + 35 = 19
63x = 19

Divide each side by '63'.
x = 0.3015873016

Simplifying
x = 0.3015873016

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