35(2x-1)=7(x-4)+3x

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Solution for 35(2x-1)=7(x-4)+3x equation:


Simplifying
35(2x + -1) = 7(x + -4) + 3x

Reorder the terms:
35(-1 + 2x) = 7(x + -4) + 3x
(-1 * 35 + 2x * 35) = 7(x + -4) + 3x
(-35 + 70x) = 7(x + -4) + 3x

Reorder the terms:
-35 + 70x = 7(-4 + x) + 3x
-35 + 70x = (-4 * 7 + x * 7) + 3x
-35 + 70x = (-28 + 7x) + 3x

Combine like terms: 7x + 3x = 10x
-35 + 70x = -28 + 10x

Solving
-35 + 70x = -28 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-35 + 70x + -10x = -28 + 10x + -10x

Combine like terms: 70x + -10x = 60x
-35 + 60x = -28 + 10x + -10x

Combine like terms: 10x + -10x = 0
-35 + 60x = -28 + 0
-35 + 60x = -28

Add '35' to each side of the equation.
-35 + 35 + 60x = -28 + 35

Combine like terms: -35 + 35 = 0
0 + 60x = -28 + 35
60x = -28 + 35

Combine like terms: -28 + 35 = 7
60x = 7

Divide each side by '60'.
x = 0.1166666667

Simplifying
x = 0.1166666667

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