7(4x-9)=2x-19

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Solution for 7(4x-9)=2x-19 equation:


Simplifying
7(4x + -9) = 2x + -19

Reorder the terms:
7(-9 + 4x) = 2x + -19
(-9 * 7 + 4x * 7) = 2x + -19
(-63 + 28x) = 2x + -19

Reorder the terms:
-63 + 28x = -19 + 2x

Solving
-63 + 28x = -19 + 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.
-63 + 28x + -2x = -19 + 2x + -2x

Combine like terms: 28x + -2x = 26x
-63 + 26x = -19 + 2x + -2x

Combine like terms: 2x + -2x = 0
-63 + 26x = -19 + 0
-63 + 26x = -19

Add '63' to each side of the equation.
-63 + 63 + 26x = -19 + 63

Combine like terms: -63 + 63 = 0
0 + 26x = -19 + 63
26x = -19 + 63

Combine like terms: -19 + 63 = 44
26x = 44

Divide each side by '26'.
x = 1.692307692

Simplifying
x = 1.692307692

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