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

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


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

Reorder the terms:
7(-3 + 4x) = 2(x + 7)
(-3 * 7 + 4x * 7) = 2(x + 7)
(-21 + 28x) = 2(x + 7)

Reorder the terms:
-21 + 28x = 2(7 + x)
-21 + 28x = (7 * 2 + x * 2)
-21 + 28x = (14 + 2x)

Solving
-21 + 28x = 14 + 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.
-21 + 28x + -2x = 14 + 2x + -2x

Combine like terms: 28x + -2x = 26x
-21 + 26x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 26x = 14 + 0
-21 + 26x = 14

Add '21' to each side of the equation.
-21 + 21 + 26x = 14 + 21

Combine like terms: -21 + 21 = 0
0 + 26x = 14 + 21
26x = 14 + 21

Combine like terms: 14 + 21 = 35
26x = 35

Divide each side by '26'.
x = 1.346153846

Simplifying
x = 1.346153846

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