7(2x-5)+30=4(x-4)+25

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Solution for 7(2x-5)+30=4(x-4)+25 equation:


Simplifying
7(2x + -5) + 30 = 4(x + -4) + 25

Reorder the terms:
7(-5 + 2x) + 30 = 4(x + -4) + 25
(-5 * 7 + 2x * 7) + 30 = 4(x + -4) + 25
(-35 + 14x) + 30 = 4(x + -4) + 25

Reorder the terms:
-35 + 30 + 14x = 4(x + -4) + 25

Combine like terms: -35 + 30 = -5
-5 + 14x = 4(x + -4) + 25

Reorder the terms:
-5 + 14x = 4(-4 + x) + 25
-5 + 14x = (-4 * 4 + x * 4) + 25
-5 + 14x = (-16 + 4x) + 25

Reorder the terms:
-5 + 14x = -16 + 25 + 4x

Combine like terms: -16 + 25 = 9
-5 + 14x = 9 + 4x

Solving
-5 + 14x = 9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 14x + -4x = 9 + 4x + -4x

Combine like terms: 14x + -4x = 10x
-5 + 10x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 10x = 9 + 0
-5 + 10x = 9

Add '5' to each side of the equation.
-5 + 5 + 10x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 9 + 5
10x = 9 + 5

Combine like terms: 9 + 5 = 14
10x = 14

Divide each side by '10'.
x = 1.4

Simplifying
x = 1.4

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